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Finding the Fourth Proportional to 514,068.48, 709,423.92 and 287,713.44

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Solution

The fourth proportional to 514,068.48, 709,423.92 and 287,713.44 is: 397,049.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,068.48 : 709,423.92 = 287,713.44 : x
  2. Step 2: Convert to fraction form
    514,068.48/709,423.92 = 287,713.44/x
  3. Step 3: Cross multiply
    514,068.48x = 709,423.92 × 287,713.44
  4. Step 4: Simplify right side
    514,068.48x = 204,110,796,441.49
  5. Step 5: Solve for x
    x = 204,110,796,441.49/514,068.48
  6. Step 6: Final answer
    x = 397,049.82

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1.5x scale

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.