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Finding the Fourth Proportional to 507,217.56, 699,981.33 and 280,863.06

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Solution

The fourth proportional to 507,217.56, 699,981.33 and 280,863.06 is: 387,602.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,217.56 : 699,981.33 = 280,863.06 : x
  2. Step 2: Convert to fraction form
    507,217.56/699,981.33 = 280,863.06/x
  3. Step 3: Cross multiply
    507,217.56x = 699,981.33 × 280,863.06
  4. Step 4: Simplify right side
    507,217.56x = 196,598,898,286.67
  5. Step 5: Solve for x
    x = 196,598,898,286.67/507,217.56
  6. Step 6: Final answer
    x = 387,602.71

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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.