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Finding the Fourth Proportional to 640,978,711.20, 961,468,066.80 and 634,176,266.40

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Solution

The fourth proportional to 640,978,711.20, 961,468,066.80 and 634,176,266.40 is: 951,264,399.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,978,711.20 : 961,468,066.80 = 634,176,266.40 : x
  2. Step 2: Convert to fraction form
    640,978,711.20/961,468,066.80 = 634,176,266.40/x
  3. Step 3: Cross multiply
    640,978,711.20x = 961,468,066.80 × 634,176,266.40
  4. Step 4: Simplify right side
    640,978,711.20x = 609,740,228,866,049,792
  5. Step 5: Solve for x
    x = 609,740,228,866,049,792/640,978,711.20
  6. Step 6: Final answer
    x = 951,264,399.60

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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.