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Finding the Fourth Proportional to 312,205,795,018.90, 467,978,169,164.47 and 105,015,695,931.14

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Solution

The fourth proportional to 312,205,795,018.90, 467,978,169,164.47 and 105,015,695,931.14 is: 157,412,366,776.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,205,795,018.90 : 467,978,169,164.47 = 105,015,695,931.14 : x
  2. Step 2: Convert to fraction form
    312,205,795,018.90/467,978,169,164.47 = 105,015,695,931.14/x
  3. Step 3: Cross multiply
    312,205,795,018.90x = 467,978,169,164.47 × 105,015,695,931.14
  4. Step 4: Simplify right side
    312,205,795,018.90x = 49,145,053,115,387,578,679,296
  5. Step 5: Solve for x
    x = 49,145,053,115,387,578,679,296/312,205,795,018.90
  6. Step 6: Final answer
    x = 157,412,366,776.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.