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Finding the Fourth Proportional to 402,502.61, 603,862.79 and 136,263.14

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Solution

The fourth proportional to 402,502.61, 603,862.79 and 136,263.14 is: 204,431.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,502.61 : 603,862.79 = 136,263.14 : x
  2. Step 2: Convert to fraction form
    402,502.61/603,862.79 = 136,263.14/x
  3. Step 3: Cross multiply
    402,502.61x = 603,862.79 × 136,263.14
  4. Step 4: Simplify right side
    402,502.61x = 82,284,236,193.93
  5. Step 5: Solve for x
    x = 82,284,236,193.93/402,502.61
  6. Step 6: Final answer
    x = 204,431.56

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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.