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Finding the Fourth Proportional to 501,764.73, 752,964.38 and 262,310.78

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Solution

The fourth proportional to 501,764.73, 752,964.38 and 262,310.78 is: 393,632.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,764.73 : 752,964.38 = 262,310.78 : x
  2. Step 2: Convert to fraction form
    501,764.73/752,964.38 = 262,310.78/x
  3. Step 3: Cross multiply
    501,764.73x = 752,964.38 × 262,310.78
  4. Step 4: Simplify right side
    501,764.73x = 197,510,676,368.20
  5. Step 5: Solve for x
    x = 197,510,676,368.20/501,764.73
  6. Step 6: Final answer
    x = 393,632.04

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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.