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Finding the Fourth Proportional to 427,347.56, 640,517.98 and 174,470.12

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Solution

The fourth proportional to 427,347.56, 640,517.98 and 174,470.12 is: 261,499.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,347.56 : 640,517.98 = 174,470.12 : x
  2. Step 2: Convert to fraction form
    427,347.56/640,517.98 = 174,470.12/x
  3. Step 3: Cross multiply
    427,347.56x = 640,517.98 × 174,470.12
  4. Step 4: Simplify right side
    427,347.56x = 111,751,248,832.76
  5. Step 5: Solve for x
    x = 111,751,248,832.76/427,347.56
  6. Step 6: Final answer
    x = 261,499.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.