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Finding the Fourth Proportional to 402,304.58, 603,409 and 132,365.78

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Solution

The fourth proportional to 402,304.58, 603,409 and 132,365.78 is: 198,532.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,304.58 : 603,409 = 132,365.78 : x
  2. Step 2: Convert to fraction form
    402,304.58/603,409 = 132,365.78/x
  3. Step 3: Cross multiply
    402,304.58x = 603,409 × 132,365.78
  4. Step 4: Simplify right side
    402,304.58x = 79,870,702,944.02
  5. Step 5: Solve for x
    x = 79,870,702,944.02/402,304.58
  6. Step 6: Final answer
    x = 198,532.92

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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.