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Finding the Fourth Proportional to 589,472.64, 813,473.28 and 321,200.64

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Solution

The fourth proportional to 589,472.64, 813,473.28 and 321,200.64 is: 443,257.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,472.64 : 813,473.28 = 321,200.64 : x
  2. Step 2: Convert to fraction form
    589,472.64/813,473.28 = 321,200.64/x
  3. Step 3: Cross multiply
    589,472.64x = 813,473.28 × 321,200.64
  4. Step 4: Simplify right side
    589,472.64x = 261,288,138,158.90
  5. Step 5: Solve for x
    x = 261,288,138,158.90/589,472.64
  6. Step 6: Final answer
    x = 443,257.45

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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.