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Finding the Fourth Proportional to 418,565,267.70, 627,847,901.55 and 127,430,078.10

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Solution

The fourth proportional to 418,565,267.70, 627,847,901.55 and 127,430,078.10 is: 191,145,117.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,565,267.70 : 627,847,901.55 = 127,430,078.10 : x
  2. Step 2: Convert to fraction form
    418,565,267.70/627,847,901.55 = 127,430,078.10/x
  3. Step 3: Cross multiply
    418,565,267.70x = 627,847,901.55 × 127,430,078.10
  4. Step 4: Simplify right side
    418,565,267.70x = 80,006,707,129,437,600
  5. Step 5: Solve for x
    x = 80,006,707,129,437,600/418,565,267.70
  6. Step 6: Final answer
    x = 191,145,117.15

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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.