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Finding the Fourth Proportional to 513,049.77, 707,998.19 and 280,473.26

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Solution

The fourth proportional to 513,049.77, 707,998.19 and 280,473.26 is: 387,047.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,049.77 : 707,998.19 = 280,473.26 : x
  2. Step 2: Convert to fraction form
    513,049.77/707,998.19 = 280,473.26/x
  3. Step 3: Cross multiply
    513,049.77x = 707,998.19 × 280,473.26
  4. Step 4: Simplify right side
    513,049.77x = 198,574,555,481.04
  5. Step 5: Solve for x
    x = 198,574,555,481.04/513,049.77
  6. Step 6: Final answer
    x = 387,047.35

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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.