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Finding the Fourth Proportional to 516,537.18, 712,879.11 and 312,700.50

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Solution

The fourth proportional to 516,537.18, 712,879.11 and 312,700.50 is: 431,561.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,537.18 : 712,879.11 = 312,700.50 : x
  2. Step 2: Convert to fraction form
    516,537.18/712,879.11 = 312,700.50/x
  3. Step 3: Cross multiply
    516,537.18x = 712,879.11 × 312,700.50
  4. Step 4: Simplify right side
    516,537.18x = 222,917,654,136.56
  5. Step 5: Solve for x
    x = 222,917,654,136.56/516,537.18
  6. Step 6: Final answer
    x = 431,561.68

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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.