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Finding the Fourth Proportional to 256,829,806.70, 385,244,710.05 and 164,996,801.90

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Solution

The fourth proportional to 256,829,806.70, 385,244,710.05 and 164,996,801.90 is: 247,495,202.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,829,806.70 : 385,244,710.05 = 164,996,801.90 : x
  2. Step 2: Convert to fraction form
    256,829,806.70/385,244,710.05 = 164,996,801.90/x
  3. Step 3: Cross multiply
    256,829,806.70x = 385,244,710.05 × 164,996,801.90
  4. Step 4: Simplify right side
    256,829,806.70x = 63,564,145,107,142,792
  5. Step 5: Solve for x
    x = 63,564,145,107,142,792/256,829,806.70
  6. Step 6: Final answer
    x = 247,495,202.85

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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.