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Finding the Fourth Proportional to 516,380.82, 712,661.04 and 312,543.87

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Solution

The fourth proportional to 516,380.82, 712,661.04 and 312,543.87 is: 431,344.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,380.82 : 712,661.04 = 312,543.87 : x
  2. Step 2: Convert to fraction form
    516,380.82/712,661.04 = 312,543.87/x
  3. Step 3: Cross multiply
    516,380.82x = 712,661.04 × 312,543.87
  4. Step 4: Simplify right side
    516,380.82x = 222,737,839,439.83
  5. Step 5: Solve for x
    x = 222,737,839,439.83/516,380.82
  6. Step 6: Final answer
    x = 431,344.14

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