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Finding the Fourth Proportional to 514,074.64, 709,425.42 and 287,763.88

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Solution

The fourth proportional to 514,074.64, 709,425.42 and 287,763.88 is: 397,115.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,074.64 : 709,425.42 = 287,763.88 : x
  2. Step 2: Convert to fraction form
    514,074.64/709,425.42 = 287,763.88/x
  3. Step 3: Cross multiply
    514,074.64x = 709,425.42 × 287,763.88
  4. Step 4: Simplify right side
    514,074.64x = 204,147,011,429.83
  5. Step 5: Solve for x
    x = 204,147,011,429.83/514,074.64
  6. Step 6: Final answer
    x = 397,115.51

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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.