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Finding the Fourth Proportional to 420,952.89, 631,678.49 and 154,900.24

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Solution

The fourth proportional to 420,952.89, 631,678.49 and 154,900.24 is: 232,442.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,952.89 : 631,678.49 = 154,900.24 : x
  2. Step 2: Convert to fraction form
    420,952.89/631,678.49 = 154,900.24/x
  3. Step 3: Cross multiply
    420,952.89x = 631,678.49 × 154,900.24
  4. Step 4: Simplify right side
    420,952.89x = 97,847,148,824.98
  5. Step 5: Solve for x
    x = 97,847,148,824.98/420,952.89
  6. Step 6: Final answer
    x = 232,442.04

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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.