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Finding the Fourth Proportional to 385,729.46, 532,300.70 and 215,969.66

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Solution

The fourth proportional to 385,729.46, 532,300.70 and 215,969.66 is: 298,034.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,729.46 : 532,300.70 = 215,969.66 : x
  2. Step 2: Convert to fraction form
    385,729.46/532,300.70 = 215,969.66/x
  3. Step 3: Cross multiply
    385,729.46x = 532,300.70 × 215,969.66
  4. Step 4: Simplify right side
    385,729.46x = 114,960,801,196.76
  5. Step 5: Solve for x
    x = 114,960,801,196.76/385,729.46
  6. Step 6: Final answer
    x = 298,034.80

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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.