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Finding the Fourth Proportional to 516,521.04, 712,817.31 and 287,082.90

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Solution

The fourth proportional to 516,521.04, 712,817.31 and 287,082.90 is: 396,184.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,521.04 : 712,817.31 = 287,082.90 : x
  2. Step 2: Convert to fraction form
    516,521.04/712,817.31 = 287,082.90/x
  3. Step 3: Cross multiply
    516,521.04x = 712,817.31 × 287,082.90
  4. Step 4: Simplify right side
    516,521.04x = 204,637,660,525.00
  5. Step 5: Solve for x
    x = 204,637,660,525.00/516,521.04
  6. Step 6: Final answer
    x = 396,184.56

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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.