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Finding the Fourth Proportional to 588,217.28, 811,824 and 330,121.76

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Solution

The fourth proportional to 588,217.28, 811,824 and 330,121.76 is: 455,615.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,217.28 : 811,824 = 330,121.76 : x
  2. Step 2: Convert to fraction form
    588,217.28/811,824 = 330,121.76/x
  3. Step 3: Cross multiply
    588,217.28x = 811,824 × 330,121.76
  4. Step 4: Simplify right side
    588,217.28x = 268,000,767,690.24
  5. Step 5: Solve for x
    x = 268,000,767,690.24/588,217.28
  6. Step 6: Final answer
    x = 455,615.26

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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.