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Finding the Fourth Proportional to 402,763.28, 604,407.72 and 150,245.78

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Solution

The fourth proportional to 402,763.28, 604,407.72 and 150,245.78 is: 225,466.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,763.28 : 604,407.72 = 150,245.78 : x
  2. Step 2: Convert to fraction form
    402,763.28/604,407.72 = 150,245.78/x
  3. Step 3: Cross multiply
    402,763.28x = 604,407.72 × 150,245.78
  4. Step 4: Simplify right side
    402,763.28x = 90,809,709,329.42
  5. Step 5: Solve for x
    x = 90,809,709,329.42/402,763.28
  6. Step 6: Final answer
    x = 225,466.70

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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.