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Finding the Fourth Proportional to 510,253.68, 765,853.44 and 257,711.52

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Solution

The fourth proportional to 510,253.68, 765,853.44 and 257,711.52 is: 386,806.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,253.68 : 765,853.44 = 257,711.52 : x
  2. Step 2: Convert to fraction form
    510,253.68/765,853.44 = 257,711.52/x
  3. Step 3: Cross multiply
    510,253.68x = 765,853.44 × 257,711.52
  4. Step 4: Simplify right side
    510,253.68x = 197,369,252,214.10
  5. Step 5: Solve for x
    x = 197,369,252,214.10/510,253.68
  6. Step 6: Final answer
    x = 386,806.13

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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.