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Finding the Fourth Proportional to 402,378.60, 603,569.25 and 149,714.76

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Solution

The fourth proportional to 402,378.60, 603,569.25 and 149,714.76 is: 224,572.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,378.60 : 603,569.25 = 149,714.76 : x
  2. Step 2: Convert to fraction form
    402,378.60/603,569.25 = 149,714.76/x
  3. Step 3: Cross multiply
    402,378.60x = 603,569.25 × 149,714.76
  4. Step 4: Simplify right side
    402,378.60x = 90,363,225,407.13
  5. Step 5: Solve for x
    x = 90,363,225,407.13/402,378.60
  6. Step 6: Final answer
    x = 224,572.64

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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.