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Finding the Fourth Proportional to 402,412.78, 603,619.28 and 149,660.25

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Solution

The fourth proportional to 402,412.78, 603,619.28 and 149,660.25 is: 224,490.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,412.78 : 603,619.28 = 149,660.25 : x
  2. Step 2: Convert to fraction form
    402,412.78/603,619.28 = 149,660.25/x
  3. Step 3: Cross multiply
    402,412.78x = 603,619.28 × 149,660.25
  4. Step 4: Simplify right side
    402,412.78x = 90,337,812,349.62
  5. Step 5: Solve for x
    x = 90,337,812,349.62/402,412.78
  6. Step 6: Final answer
    x = 224,490.42

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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.