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Finding the Fourth Proportional to 462,731.52, 638,565 and 258,780.12

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Solution

The fourth proportional to 462,731.52, 638,565 and 258,780.12 is: 357,114.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,731.52 : 638,565 = 258,780.12 : x
  2. Step 2: Convert to fraction form
    462,731.52/638,565 = 258,780.12/x
  3. Step 3: Cross multiply
    462,731.52x = 638,565 × 258,780.12
  4. Step 4: Simplify right side
    462,731.52x = 165,247,927,327.80
  5. Step 5: Solve for x
    x = 165,247,927,327.80/462,731.52
  6. Step 6: Final answer
    x = 357,114.05

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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.