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Finding the Fourth Proportional to 402,502.97, 603,863.34 and 136,263.51

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Solution

The fourth proportional to 402,502.97, 603,863.34 and 136,263.51 is: 204,432.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,502.97 : 603,863.34 = 136,263.51 : x
  2. Step 2: Convert to fraction form
    402,502.97/603,863.34 = 136,263.51/x
  3. Step 3: Cross multiply
    402,502.97x = 603,863.34 × 136,263.51
  4. Step 4: Simplify right side
    402,502.97x = 82,284,538,268.72
  5. Step 5: Solve for x
    x = 82,284,538,268.72/402,502.97
  6. Step 6: Final answer
    x = 204,432.13

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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.