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Finding the Fourth Proportional to 489,045.60, 733,276.80 and 252,849.60

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Solution

The fourth proportional to 489,045.60, 733,276.80 and 252,849.60 is: 379,123.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,045.60 : 733,276.80 = 252,849.60 : x
  2. Step 2: Convert to fraction form
    489,045.60/733,276.80 = 252,849.60/x
  3. Step 3: Cross multiply
    489,045.60x = 733,276.80 × 252,849.60
  4. Step 4: Simplify right side
    489,045.60x = 185,408,745,569.28
  5. Step 5: Solve for x
    x = 185,408,745,569.28/489,045.60
  6. Step 6: Final answer
    x = 379,123.64

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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.