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Finding the Fourth Proportional to 512,873.12, 707,767.07 and 280,304.76

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Solution

The fourth proportional to 512,873.12, 707,767.07 and 280,304.76 is: 386,821.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,873.12 : 707,767.07 = 280,304.76 : x
  2. Step 2: Convert to fraction form
    512,873.12/707,767.07 = 280,304.76/x
  3. Step 3: Cross multiply
    512,873.12x = 707,767.07 × 280,304.76
  4. Step 4: Simplify right side
    512,873.12x = 198,390,477,290.73
  5. Step 5: Solve for x
    x = 198,390,477,290.73/512,873.12
  6. Step 6: Final answer
    x = 386,821.75

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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.