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Finding the Fourth Proportional to 385,893, 532,532.34 and 216,181.80

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Solution

The fourth proportional to 385,893, 532,532.34 and 216,181.80 is: 298,330.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,893 : 532,532.34 = 216,181.80 : x
  2. Step 2: Convert to fraction form
    385,893/532,532.34 = 216,181.80/x
  3. Step 3: Cross multiply
    385,893x = 532,532.34 × 216,181.80
  4. Step 4: Simplify right side
    385,893x = 115,123,799,819.41
  5. Step 5: Solve for x
    x = 115,123,799,819.41/385,893
  6. Step 6: Final answer
    x = 298,330.88

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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.