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Finding the Fourth Proportional to 766,072, 1,149,327.24 and 260,744.32

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Solution

The fourth proportional to 766,072, 1,149,327.24 and 260,744.32 is: 391,191.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,072 : 1,149,327.24 = 260,744.32 : x
  2. Step 2: Convert to fraction form
    766,072/1,149,327.24 = 260,744.32/x
  3. Step 3: Cross multiply
    766,072x = 1,149,327.24 × 260,744.32
  4. Step 4: Simplify right side
    766,072x = 299,680,549,651.28
  5. Step 5: Solve for x
    x = 299,680,549,651.28/766,072
  6. Step 6: Final answer
    x = 391,191.10

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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.