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Finding the Fourth Proportional to 521,731.60, 783,115.80 and 255,792.40

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Solution

The fourth proportional to 521,731.60, 783,115.80 and 255,792.40 is: 383,942.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,731.60 : 783,115.80 = 255,792.40 : x
  2. Step 2: Convert to fraction form
    521,731.60/783,115.80 = 255,792.40/x
  3. Step 3: Cross multiply
    521,731.60x = 783,115.80 × 255,792.40
  4. Step 4: Simplify right side
    521,731.60x = 200,315,069,959.92
  5. Step 5: Solve for x
    x = 200,315,069,959.92/521,731.60
  6. Step 6: Final answer
    x = 383,942.76

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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.