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Finding the Fourth Proportional to 492,738.60, 739,107.90 and 279,287.40

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Solution

The fourth proportional to 492,738.60, 739,107.90 and 279,287.40 is: 418,931.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,738.60 : 739,107.90 = 279,287.40 : x
  2. Step 2: Convert to fraction form
    492,738.60/739,107.90 = 279,287.40/x
  3. Step 3: Cross multiply
    492,738.60x = 739,107.90 × 279,287.40
  4. Step 4: Simplify right side
    492,738.60x = 206,423,523,710.46
  5. Step 5: Solve for x
    x = 206,423,523,710.46/492,738.60
  6. Step 6: Final answer
    x = 418,931.10

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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.