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Finding the Fourth Proportional to 567,511.20, 783,170.92 and 312,871.68

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Solution

The fourth proportional to 567,511.20, 783,170.92 and 312,871.68 is: 431,765.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,511.20 : 783,170.92 = 312,871.68 : x
  2. Step 2: Convert to fraction form
    567,511.20/783,170.92 = 312,871.68/x
  3. Step 3: Cross multiply
    567,511.20x = 783,170.92 × 312,871.68
  4. Step 4: Simplify right side
    567,511.20x = 245,032,001,467.55
  5. Step 5: Solve for x
    x = 245,032,001,467.55/567,511.20
  6. Step 6: Final answer
    x = 431,765.93

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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.