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Finding the Fourth Proportional to 492,687.85, 738,802.13 and 255,966.97

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Solution

The fourth proportional to 492,687.85, 738,802.13 and 255,966.97 is: 383,831.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,687.85 : 738,802.13 = 255,966.97 : x
  2. Step 2: Convert to fraction form
    492,687.85/738,802.13 = 255,966.97/x
  3. Step 3: Cross multiply
    492,687.85x = 738,802.13 × 255,966.97
  4. Step 4: Simplify right side
    492,687.85x = 189,108,937,671.80
  5. Step 5: Solve for x
    x = 189,108,937,671.80/492,687.85
  6. Step 6: Final answer
    x = 383,831.14

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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.