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Finding the Fourth Proportional to 514,040.45, 709,375.73 and 287,685.95

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Solution

The fourth proportional to 514,040.45, 709,375.73 and 287,685.95 is: 397,006.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,040.45 : 709,375.73 = 287,685.95 : x
  2. Step 2: Convert to fraction form
    514,040.45/709,375.73 = 287,685.95/x
  3. Step 3: Cross multiply
    514,040.45x = 709,375.73 × 287,685.95
  4. Step 4: Simplify right side
    514,040.45x = 204,077,425,806.69
  5. Step 5: Solve for x
    x = 204,077,425,806.69/514,040.45
  6. Step 6: Final answer
    x = 397,006.55

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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.