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Finding the Fourth Proportional to 514,815.27, 710,449.83 and 285,375.03

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Solution

The fourth proportional to 514,815.27, 710,449.83 and 285,375.03 is: 393,820.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,815.27 : 710,449.83 = 285,375.03 : x
  2. Step 2: Convert to fraction form
    514,815.27/710,449.83 = 285,375.03/x
  3. Step 3: Cross multiply
    514,815.27x = 710,449.83 × 285,375.03
  4. Step 4: Simplify right side
    514,815.27x = 202,744,641,549.75
  5. Step 5: Solve for x
    x = 202,744,641,549.75/514,815.27
  6. Step 6: Final answer
    x = 393,820.18

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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.