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Finding the Fourth Proportional to 567,077.09, 782,565.91 and 312,428.27

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Solution

The fourth proportional to 567,077.09, 782,565.91 and 312,428.27 is: 431,150.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,077.09 : 782,565.91 = 312,428.27 : x
  2. Step 2: Convert to fraction form
    567,077.09/782,565.91 = 312,428.27/x
  3. Step 3: Cross multiply
    567,077.09x = 782,565.91 × 312,428.27
  4. Step 4: Simplify right side
    567,077.09x = 244,495,714,597.62
  5. Step 5: Solve for x
    x = 244,495,714,597.62/567,077.09
  6. Step 6: Final answer
    x = 431,150.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.