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Finding the Fourth Proportional to 478,095,936, 659,754,971.80 and 266,391,828.24

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Solution

The fourth proportional to 478,095,936, 659,754,971.80 and 266,391,828.24 is: 367,611,016.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,095,936 : 659,754,971.80 = 266,391,828.24 : x
  2. Step 2: Convert to fraction form
    478,095,936/659,754,971.80 = 266,391,828.24/x
  3. Step 3: Cross multiply
    478,095,936x = 659,754,971.80 × 266,391,828.24
  4. Step 4: Simplify right side
    478,095,936x = 175,753,333,128,231,648
  5. Step 5: Solve for x
    x = 175,753,333,128,231,648/478,095,936
  6. Step 6: Final answer
    x = 367,611,016.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.