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Finding the Fourth Proportional to 454,514.56, 627,251.52 and 253,312

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Solution

The fourth proportional to 454,514.56, 627,251.52 and 253,312 is: 349,582.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,514.56 : 627,251.52 = 253,312 : x
  2. Step 2: Convert to fraction form
    454,514.56/627,251.52 = 253,312/x
  3. Step 3: Cross multiply
    454,514.56x = 627,251.52 × 253,312
  4. Step 4: Simplify right side
    454,514.56x = 158,890,337,034.24
  5. Step 5: Solve for x
    x = 158,890,337,034.24/454,514.56
  6. Step 6: Final answer
    x = 349,582.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.