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Finding the Fourth Proportional to 514,311.12, 709,744.68 and 287,960.40

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Solution

The fourth proportional to 514,311.12, 709,744.68 and 287,960.40 is: 397,382.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,311.12 : 709,744.68 = 287,960.40 : x
  2. Step 2: Convert to fraction form
    514,311.12/709,744.68 = 287,960.40/x
  3. Step 3: Cross multiply
    514,311.12x = 709,744.68 × 287,960.40
  4. Step 4: Simplify right side
    514,311.12x = 204,378,361,950.67
  5. Step 5: Solve for x
    x = 204,378,361,950.67/514,311.12
  6. Step 6: Final answer
    x = 397,382.74

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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.