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Finding the Fourth Proportional to 472,431.56, 708,502 and 135,381.86

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Solution

The fourth proportional to 472,431.56, 708,502 and 135,381.86 is: 203,031.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,431.56 : 708,502 = 135,381.86 : x
  2. Step 2: Convert to fraction form
    472,431.56/708,502 = 135,381.86/x
  3. Step 3: Cross multiply
    472,431.56x = 708,502 × 135,381.86
  4. Step 4: Simplify right side
    472,431.56x = 95,918,318,573.72
  5. Step 5: Solve for x
    x = 95,918,318,573.72/472,431.56
  6. Step 6: Final answer
    x = 203,031.14

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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.