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Finding the Fourth Proportional to 489,393.72, 732,909.60 and 278,391.96

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Solution

The fourth proportional to 489,393.72, 732,909.60 and 278,391.96 is: 416,916.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,393.72 : 732,909.60 = 278,391.96 : x
  2. Step 2: Convert to fraction form
    489,393.72/732,909.60 = 278,391.96/x
  3. Step 3: Cross multiply
    489,393.72x = 732,909.60 × 278,391.96
  4. Step 4: Simplify right side
    489,393.72x = 204,036,140,046.82
  5. Step 5: Solve for x
    x = 204,036,140,046.82/489,393.72
  6. Step 6: Final answer
    x = 416,916.14

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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.