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Finding the Fourth Proportional to 472,380,098.52, 709,489,646.88 and 385,006,178.88

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Solution

The fourth proportional to 472,380,098.52, 709,489,646.88 and 385,006,178.88 is: 578,258,692.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,380,098.52 : 709,489,646.88 = 385,006,178.88 : x
  2. Step 2: Convert to fraction form
    472,380,098.52/709,489,646.88 = 385,006,178.88/x
  3. Step 3: Cross multiply
    472,380,098.52x = 709,489,646.88 × 385,006,178.88
  4. Step 4: Simplify right side
    472,380,098.52x = 273,157,897,900,189,312
  5. Step 5: Solve for x
    x = 273,157,897,900,189,312/472,380,098.52
  6. Step 6: Final answer
    x = 578,258,692.01

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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.