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Finding the Fourth Proportional to 462,618.24, 638,166.92 and 281,385.60

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Solution

The fourth proportional to 462,618.24, 638,166.92 and 281,385.60 is: 388,162.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,618.24 : 638,166.92 = 281,385.60 : x
  2. Step 2: Convert to fraction form
    462,618.24/638,166.92 = 281,385.60/x
  3. Step 3: Cross multiply
    462,618.24x = 638,166.92 × 281,385.60
  4. Step 4: Simplify right side
    462,618.24x = 179,570,980,277.42
  5. Step 5: Solve for x
    x = 179,570,980,277.42/462,618.24
  6. Step 6: Final answer
    x = 388,162.34

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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.