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Finding the Fourth Proportional to 385,960.52, 532,624.74 and 216,191

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Solution

The fourth proportional to 385,960.52, 532,624.74 and 216,191 is: 298,343.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,960.52 : 532,624.74 = 216,191 : x
  2. Step 2: Convert to fraction form
    385,960.52/532,624.74 = 216,191/x
  3. Step 3: Cross multiply
    385,960.52x = 532,624.74 × 216,191
  4. Step 4: Simplify right side
    385,960.52x = 115,148,675,165.34
  5. Step 5: Solve for x
    x = 115,148,675,165.34/385,960.52
  6. Step 6: Final answer
    x = 298,343.14

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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.