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Finding the Fourth Proportional to 402,123.40, 603,165.90 and 135,857.80

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Solution

The fourth proportional to 402,123.40, 603,165.90 and 135,857.80 is: 203,780.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,123.40 : 603,165.90 = 135,857.80 : x
  2. Step 2: Convert to fraction form
    402,123.40/603,165.90 = 135,857.80/x
  3. Step 3: Cross multiply
    402,123.40x = 603,165.90 × 135,857.80
  4. Step 4: Simplify right side
    402,123.40x = 81,944,792,209.02
  5. Step 5: Solve for x
    x = 81,944,792,209.02/402,123.40
  6. Step 6: Final answer
    x = 203,780.21

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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.