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Finding the Fourth Proportional to 516,431.44, 712,675.80 and 290,077.12

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Solution

The fourth proportional to 516,431.44, 712,675.80 and 290,077.12 is: 400,306.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,431.44 : 712,675.80 = 290,077.12 : x
  2. Step 2: Convert to fraction form
    516,431.44/712,675.80 = 290,077.12/x
  3. Step 3: Cross multiply
    516,431.44x = 712,675.80 × 290,077.12
  4. Step 4: Simplify right side
    516,431.44x = 206,730,943,557.70
  5. Step 5: Solve for x
    x = 206,730,943,557.70/516,431.44
  6. Step 6: Final answer
    x = 400,306.66

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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.