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Finding the Fourth Proportional to 462,512.91, 638,272.56 and 258,575.16

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Solution

The fourth proportional to 462,512.91, 638,272.56 and 258,575.16 is: 356,836.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,512.91 : 638,272.56 = 258,575.16 : x
  2. Step 2: Convert to fraction form
    462,512.91/638,272.56 = 258,575.16/x
  3. Step 3: Cross multiply
    462,512.91x = 638,272.56 × 258,575.16
  4. Step 4: Simplify right side
    462,512.91x = 165,041,429,325.61
  5. Step 5: Solve for x
    x = 165,041,429,325.61/462,512.91
  6. Step 6: Final answer
    x = 356,836.37

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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.