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Finding the Fourth Proportional to 420,898.12, 631,279.14 and 154,592.80

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Solution

The fourth proportional to 420,898.12, 631,279.14 and 154,592.80 is: 231,864.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,898.12 : 631,279.14 = 154,592.80 : x
  2. Step 2: Convert to fraction form
    420,898.12/631,279.14 = 154,592.80/x
  3. Step 3: Cross multiply
    420,898.12x = 631,279.14 × 154,592.80
  4. Step 4: Simplify right side
    420,898.12x = 97,591,209,834.19
  5. Step 5: Solve for x
    x = 97,591,209,834.19/420,898.12
  6. Step 6: Final answer
    x = 231,864.21

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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.