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Finding the Fourth Proportional to 385,575.20, 532,124.16 and 284,064.80

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Solution

The fourth proportional to 385,575.20, 532,124.16 and 284,064.80 is: 392,031.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,575.20 : 532,124.16 = 284,064.80 : x
  2. Step 2: Convert to fraction form
    385,575.20/532,124.16 = 284,064.80/x
  3. Step 3: Cross multiply
    385,575.20x = 532,124.16 × 284,064.80
  4. Step 4: Simplify right side
    385,575.20x = 151,157,743,085.57
  5. Step 5: Solve for x
    x = 151,157,743,085.57/385,575.20
  6. Step 6: Final answer
    x = 392,031.81

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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.