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Finding the Fourth Proportional to 402,503.10, 603,863.54 and 136,263.64

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Solution

The fourth proportional to 402,503.10, 603,863.54 and 136,263.64 is: 204,432.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,503.10 : 603,863.54 = 136,263.64 : x
  2. Step 2: Convert to fraction form
    402,503.10/603,863.54 = 136,263.64/x
  3. Step 3: Cross multiply
    402,503.10x = 603,863.54 × 136,263.64
  4. Step 4: Simplify right side
    402,503.10x = 82,284,644,023.69
  5. Step 5: Solve for x
    x = 82,284,644,023.69/402,503.10
  6. Step 6: Final answer
    x = 204,432.32

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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.