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Finding the Fourth Proportional to 513,616.52, 770,146.38 and 285,982.28

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Solution

The fourth proportional to 513,616.52, 770,146.38 and 285,982.28 is: 428,818.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,616.52 : 770,146.38 = 285,982.28 : x
  2. Step 2: Convert to fraction form
    513,616.52/770,146.38 = 285,982.28/x
  3. Step 3: Cross multiply
    513,616.52x = 770,146.38 × 285,982.28
  4. Step 4: Simplify right side
    513,616.52x = 220,248,217,686.15
  5. Step 5: Solve for x
    x = 220,248,217,686.15/513,616.52
  6. Step 6: Final answer
    x = 428,818.41

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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.