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Finding the Fourth Proportional to 385,832.88, 532,471.50 and 216,065.52

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Solution

The fourth proportional to 385,832.88, 532,471.50 and 216,065.52 is: 298,182.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,832.88 : 532,471.50 = 216,065.52 : x
  2. Step 2: Convert to fraction form
    385,832.88/532,471.50 = 216,065.52/x
  3. Step 3: Cross multiply
    385,832.88x = 532,471.50 × 216,065.52
  4. Step 4: Simplify right side
    385,832.88x = 115,048,731,532.68
  5. Step 5: Solve for x
    x = 115,048,731,532.68/385,832.88
  6. Step 6: Final answer
    x = 298,182.81

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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.