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Finding the Fourth Proportional to 489,192.90, 732,882.15 and 278,204.10

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Solution

The fourth proportional to 489,192.90, 732,882.15 and 278,204.10 is: 416,790.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,192.90 : 732,882.15 = 278,204.10 : x
  2. Step 2: Convert to fraction form
    489,192.90/732,882.15 = 278,204.10/x
  3. Step 3: Cross multiply
    489,192.90x = 732,882.15 × 278,204.10
  4. Step 4: Simplify right side
    489,192.90x = 203,890,818,946.82
  5. Step 5: Solve for x
    x = 203,890,818,946.82/489,192.90
  6. Step 6: Final answer
    x = 416,790.23

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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.