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Finding the Fourth Proportional to 771,630.72, 1,156,512.96 and 397,449.60

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Solution

The fourth proportional to 771,630.72, 1,156,512.96 and 397,449.60 is: 595,693.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,630.72 : 1,156,512.96 = 397,449.60 : x
  2. Step 2: Convert to fraction form
    771,630.72/1,156,512.96 = 397,449.60/x
  3. Step 3: Cross multiply
    771,630.72x = 1,156,512.96 × 397,449.60
  4. Step 4: Simplify right side
    771,630.72x = 459,655,613,346.82
  5. Step 5: Solve for x
    x = 459,655,613,346.82/771,630.72
  6. Step 6: Final answer
    x = 595,693.77

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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.