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Finding the Fourth Proportional to 319,040,019.40, 478,560,029.10 and 319,040,019.40

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Solution

The fourth proportional to 319,040,019.40, 478,560,029.10 and 319,040,019.40 is: 478,560,029.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,040,019.40 : 478,560,029.10 = 319,040,019.40 : x
  2. Step 2: Convert to fraction form
    319,040,019.40/478,560,029.10 = 319,040,019.40/x
  3. Step 3: Cross multiply
    319,040,019.40x = 478,560,029.10 × 319,040,019.40
  4. Step 4: Simplify right side
    319,040,019.40x = 152,679,800,968,128,576
  5. Step 5: Solve for x
    x = 152,679,800,968,128,576/319,040,019.40
  6. Step 6: Final answer
    x = 478,560,029.10

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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.