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Finding the Fourth Proportional to 516,501.81, 712,771.92 and 287,051.90

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Solution

The fourth proportional to 516,501.81, 712,771.92 and 287,051.90 is: 396,131.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,501.81 : 712,771.92 = 287,051.90 : x
  2. Step 2: Convert to fraction form
    516,501.81/712,771.92 = 287,051.90/x
  3. Step 3: Cross multiply
    516,501.81x = 712,771.92 × 287,051.90
  4. Step 4: Simplify right side
    516,501.81x = 204,602,530,338.79
  5. Step 5: Solve for x
    x = 204,602,530,338.79/516,501.81
  6. Step 6: Final answer
    x = 396,131.29

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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.