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Finding the Fourth Proportional to 462,569.13, 638,310.38 and 281,255.90

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Solution

The fourth proportional to 462,569.13, 638,310.38 and 281,255.90 is: 388,111.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,569.13 : 638,310.38 = 281,255.90 : x
  2. Step 2: Convert to fraction form
    462,569.13/638,310.38 = 281,255.90/x
  3. Step 3: Cross multiply
    462,569.13x = 638,310.38 × 281,255.90
  4. Step 4: Simplify right side
    462,569.13x = 179,528,555,808.41
  5. Step 5: Solve for x
    x = 179,528,555,808.41/462,569.13
  6. Step 6: Final answer
    x = 388,111.84

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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.