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Finding the Fourth Proportional to 506,638.88, 699,123.12 and 280,279.52

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Solution

The fourth proportional to 506,638.88, 699,123.12 and 280,279.52 is: 386,764.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,638.88 : 699,123.12 = 280,279.52 : x
  2. Step 2: Convert to fraction form
    506,638.88/699,123.12 = 280,279.52/x
  3. Step 3: Cross multiply
    506,638.88x = 699,123.12 × 280,279.52
  4. Step 4: Simplify right side
    506,638.88x = 195,949,892,494.50
  5. Step 5: Solve for x
    x = 195,949,892,494.50/506,638.88
  6. Step 6: Final answer
    x = 386,764.42

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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.