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Finding the Fourth Proportional to 514,271.70, 709,687.17 and 287,925.30

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Solution

The fourth proportional to 514,271.70, 709,687.17 and 287,925.30 is: 397,332.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,271.70 : 709,687.17 = 287,925.30 : x
  2. Step 2: Convert to fraction form
    514,271.70/709,687.17 = 287,925.30/x
  3. Step 3: Cross multiply
    514,271.70x = 709,687.17 × 287,925.30
  4. Step 4: Simplify right side
    514,271.70x = 204,336,891,328.40
  5. Step 5: Solve for x
    x = 204,336,891,328.40/514,271.70
  6. Step 6: Final answer
    x = 397,332.56

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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.