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Finding the Fourth Proportional to 402,472.80, 603,709.20 and 284,374.80

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Solution

The fourth proportional to 402,472.80, 603,709.20 and 284,374.80 is: 426,562.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,472.80 : 603,709.20 = 284,374.80 : x
  2. Step 2: Convert to fraction form
    402,472.80/603,709.20 = 284,374.80/x
  3. Step 3: Cross multiply
    402,472.80x = 603,709.20 × 284,374.80
  4. Step 4: Simplify right side
    402,472.80x = 171,679,683,008.16
  5. Step 5: Solve for x
    x = 171,679,683,008.16/402,472.80
  6. Step 6: Final answer
    x = 426,562.20

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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.