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Finding the Fourth Proportional to 614,466.80, 923,082.60 and 427,842.80

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Solution

The fourth proportional to 614,466.80, 923,082.60 and 427,842.80 is: 642,726.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,466.80 : 923,082.60 = 427,842.80 : x
  2. Step 2: Convert to fraction form
    614,466.80/923,082.60 = 427,842.80/x
  3. Step 3: Cross multiply
    614,466.80x = 923,082.60 × 427,842.80
  4. Step 4: Simplify right side
    614,466.80x = 394,934,244,215.28
  5. Step 5: Solve for x
    x = 394,934,244,215.28/614,466.80
  6. Step 6: Final answer
    x = 642,726.74

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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.