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Finding the Fourth Proportional to 318,294.09, 477,651.45 and 149,862.58

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Solution

The fourth proportional to 318,294.09, 477,651.45 and 149,862.58 is: 224,892.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,294.09 : 477,651.45 = 149,862.58 : x
  2. Step 2: Convert to fraction form
    318,294.09/477,651.45 = 149,862.58/x
  3. Step 3: Cross multiply
    318,294.09x = 477,651.45 × 149,862.58
  4. Step 4: Simplify right side
    318,294.09x = 71,582,078,637.74
  5. Step 5: Solve for x
    x = 71,582,078,637.74/318,294.09
  6. Step 6: Final answer
    x = 224,892.89

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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.