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Finding the Fourth Proportional to 510,562.95, 765,449.91 and 257,713.28

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Solution

The fourth proportional to 510,562.95, 765,449.91 and 257,713.28 is: 386,370.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,562.95 : 765,449.91 = 257,713.28 : x
  2. Step 2: Convert to fraction form
    510,562.95/765,449.91 = 257,713.28/x
  3. Step 3: Cross multiply
    510,562.95x = 765,449.91 × 257,713.28
  4. Step 4: Simplify right side
    510,562.95x = 197,266,603,154.56
  5. Step 5: Solve for x
    x = 197,266,603,154.56/510,562.95
  6. Step 6: Final answer
    x = 386,370.78

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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.