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Finding the Fourth Proportional to 567,511.12, 783,170.69 and 312,871.42

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Solution

The fourth proportional to 567,511.12, 783,170.69 and 312,871.42 is: 431,765.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,511.12 : 783,170.69 = 312,871.42 : x
  2. Step 2: Convert to fraction form
    567,511.12/783,170.69 = 312,871.42/x
  3. Step 3: Cross multiply
    567,511.12x = 783,170.69 × 312,871.42
  4. Step 4: Simplify right side
    567,511.12x = 245,031,721,966.83
  5. Step 5: Solve for x
    x = 245,031,721,966.83/567,511.12
  6. Step 6: Final answer
    x = 431,765.50

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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.