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Finding the Fourth Proportional to 567,264.21, 782,841.02 and 312,631.80

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Solution

The fourth proportional to 567,264.21, 782,841.02 and 312,631.80 is: 431,440.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,264.21 : 782,841.02 = 312,631.80 : x
  2. Step 2: Convert to fraction form
    567,264.21/782,841.02 = 312,631.80/x
  3. Step 3: Cross multiply
    567,264.21x = 782,841.02 × 312,631.80
  4. Step 4: Simplify right side
    567,264.21x = 244,740,995,633.28
  5. Step 5: Solve for x
    x = 244,740,995,633.28/567,264.21
  6. Step 6: Final answer
    x = 431,440.93

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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.