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Finding the Fourth Proportional to 402,292.02, 603,438 and 102,773.24

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Solution

The fourth proportional to 402,292.02, 603,438 and 102,773.24 is: 154,159.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,292.02 : 603,438 = 102,773.24 : x
  2. Step 2: Convert to fraction form
    402,292.02/603,438 = 102,773.24/x
  3. Step 3: Cross multiply
    402,292.02x = 603,438 × 102,773.24
  4. Step 4: Simplify right side
    402,292.02x = 62,017,278,399.12
  5. Step 5: Solve for x
    x = 62,017,278,399.12/402,292.02
  6. Step 6: Final answer
    x = 154,159.85

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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.