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Finding the Fourth Proportional to 257,494.68, 386,259.30 and 89,031.42

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Solution

The fourth proportional to 257,494.68, 386,259.30 and 89,031.42 is: 133,553.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,494.68 : 386,259.30 = 89,031.42 : x
  2. Step 2: Convert to fraction form
    257,494.68/386,259.30 = 89,031.42/x
  3. Step 3: Cross multiply
    257,494.68x = 386,259.30 × 89,031.42
  4. Step 4: Simplify right side
    257,494.68x = 34,389,213,967.21
  5. Step 5: Solve for x
    x = 34,389,213,967.21/257,494.68
  6. Step 6: Final answer
    x = 133,553.10

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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.