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Finding the Fourth Proportional to 567,010.62, 782,510.13 and 312,361.83

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Solution

The fourth proportional to 567,010.62, 782,510.13 and 312,361.83 is: 431,078.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,010.62 : 782,510.13 = 312,361.83 : x
  2. Step 2: Convert to fraction form
    567,010.62/782,510.13 = 312,361.83/x
  3. Step 3: Cross multiply
    567,010.62x = 782,510.13 × 312,361.83
  4. Step 4: Simplify right side
    567,010.62x = 244,426,296,200.34
  5. Step 5: Solve for x
    x = 244,426,296,200.34/567,010.62
  6. Step 6: Final answer
    x = 431,078.87

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1.5x scale

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.