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Finding the Fourth Proportional to 489,007.76, 733,449.33 and 189,283.28

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Solution

The fourth proportional to 489,007.76, 733,449.33 and 189,283.28 is: 283,900.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,007.76 : 733,449.33 = 189,283.28 : x
  2. Step 2: Convert to fraction form
    489,007.76/733,449.33 = 189,283.28/x
  3. Step 3: Cross multiply
    489,007.76x = 733,449.33 × 189,283.28
  4. Step 4: Simplify right side
    489,007.76x = 138,829,691,228.96
  5. Step 5: Solve for x
    x = 138,829,691,228.96/489,007.76
  6. Step 6: Final answer
    x = 283,900.80

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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.