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Finding the Fourth Proportional to 514,252.56, 709,648.92 and 281,675.80

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Solution

The fourth proportional to 514,252.56, 709,648.92 and 281,675.80 is: 388,701.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,252.56 : 709,648.92 = 281,675.80 : x
  2. Step 2: Convert to fraction form
    514,252.56/709,648.92 = 281,675.80/x
  3. Step 3: Cross multiply
    514,252.56x = 709,648.92 × 281,675.80
  4. Step 4: Simplify right side
    514,252.56x = 199,890,927,260.14
  5. Step 5: Solve for x
    x = 199,890,927,260.14/514,252.56
  6. Step 6: Final answer
    x = 388,701.86

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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.