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Finding the Fourth Proportional to 385,573.20, 532,121.40 and 284,062.80

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Solution

The fourth proportional to 385,573.20, 532,121.40 and 284,062.80 is: 392,029.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,573.20 : 532,121.40 = 284,062.80 : x
  2. Step 2: Convert to fraction form
    385,573.20/532,121.40 = 284,062.80/x
  3. Step 3: Cross multiply
    385,573.20x = 532,121.40 × 284,062.80
  4. Step 4: Simplify right side
    385,573.20x = 151,155,894,823.92
  5. Step 5: Solve for x
    x = 151,155,894,823.92/385,573.20
  6. Step 6: Final answer
    x = 392,029.05

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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.