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Finding the Fourth Proportional to 462,523.95, 638,479.80 and 281,294.10

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Solution

The fourth proportional to 462,523.95, 638,479.80 and 281,294.10 is: 388,305.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,523.95 : 638,479.80 = 281,294.10 : x
  2. Step 2: Convert to fraction form
    462,523.95/638,479.80 = 281,294.10/x
  3. Step 3: Cross multiply
    462,523.95x = 638,479.80 × 281,294.10
  4. Step 4: Simplify right side
    462,523.95x = 179,600,600,709.18
  5. Step 5: Solve for x
    x = 179,600,600,709.18/462,523.95
  6. Step 6: Final answer
    x = 388,305.52

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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.