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Finding the Fourth Proportional to 507,211.42, 699,951.72 and 280,856.92

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Solution

The fourth proportional to 507,211.42, 699,951.72 and 280,856.92 is: 387,582.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,211.42 : 699,951.72 = 280,856.92 : x
  2. Step 2: Convert to fraction form
    507,211.42/699,951.72 = 280,856.92/x
  3. Step 3: Cross multiply
    507,211.42x = 699,951.72 × 280,856.92
  4. Step 4: Simplify right side
    507,211.42x = 196,586,284,227.90
  5. Step 5: Solve for x
    x = 196,586,284,227.90/507,211.42
  6. Step 6: Final answer
    x = 387,582.53

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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.