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Finding the Fourth Proportional to 513,589.53, 769,753.32 and 288,476.76

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Solution

The fourth proportional to 513,589.53, 769,753.32 and 288,476.76 is: 432,360.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,589.53 : 769,753.32 = 288,476.76 : x
  2. Step 2: Convert to fraction form
    513,589.53/769,753.32 = 288,476.76/x
  3. Step 3: Cross multiply
    513,589.53x = 769,753.32 × 288,476.76
  4. Step 4: Simplify right side
    513,589.53x = 222,055,939,904.08
  5. Step 5: Solve for x
    x = 222,055,939,904.08/513,589.53
  6. Step 6: Final answer
    x = 432,360.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.