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Finding the Fourth Proportional to 492,687.28, 738,801.21 and 255,966.40

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Solution

The fourth proportional to 492,687.28, 738,801.21 and 255,966.40 is: 383,830.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,687.28 : 738,801.21 = 255,966.40 : x
  2. Step 2: Convert to fraction form
    492,687.28/738,801.21 = 255,966.40/x
  3. Step 3: Cross multiply
    492,687.28x = 738,801.21 × 255,966.40
  4. Step 4: Simplify right side
    492,687.28x = 189,108,286,039.34
  5. Step 5: Solve for x
    x = 189,108,286,039.34/492,687.28
  6. Step 6: Final answer
    x = 383,830.26

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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.