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Finding the Fourth Proportional to 457,357.18, 686,108.49 and 141,748.78

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Solution

The fourth proportional to 457,357.18, 686,108.49 and 141,748.78 is: 212,645.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,357.18 : 686,108.49 = 141,748.78 : x
  2. Step 2: Convert to fraction form
    457,357.18/686,108.49 = 141,748.78/x
  3. Step 3: Cross multiply
    457,357.18x = 686,108.49 × 141,748.78
  4. Step 4: Simplify right side
    457,357.18x = 97,255,041,405.14
  5. Step 5: Solve for x
    x = 97,255,041,405.14/457,357.18
  6. Step 6: Final answer
    x = 212,645.71

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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.