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Finding the Fourth Proportional to 512,874.12, 707,768.45 and 280,305.76

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Solution

The fourth proportional to 512,874.12, 707,768.45 and 280,305.76 is: 386,823.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,874.12 : 707,768.45 = 280,305.76 : x
  2. Step 2: Convert to fraction form
    512,874.12/707,768.45 = 280,305.76/x
  3. Step 3: Cross multiply
    512,874.12x = 707,768.45 × 280,305.76
  4. Step 4: Simplify right side
    512,874.12x = 198,391,573,281.27
  5. Step 5: Solve for x
    x = 198,391,573,281.27/512,874.12
  6. Step 6: Final answer
    x = 386,823.13

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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.