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Finding the Fourth Proportional to 429,891,452.92, 644,875,904.34 and 138,765,477.88

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Solution

The fourth proportional to 429,891,452.92, 644,875,904.34 and 138,765,477.88 is: 208,160,716.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,891,452.92 : 644,875,904.34 = 138,765,477.88 : x
  2. Step 2: Convert to fraction form
    429,891,452.92/644,875,904.34 = 138,765,477.88/x
  3. Step 3: Cross multiply
    429,891,452.92x = 644,875,904.34 × 138,765,477.88
  4. Step 4: Simplify right side
    429,891,452.92x = 89,486,513,039,037,264
  5. Step 5: Solve for x
    x = 89,486,513,039,037,264/429,891,452.92
  6. Step 6: Final answer
    x = 208,160,716.92

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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.