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Finding the Fourth Proportional to 231,715.71, 319,602.78 and 212,657.04

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Solution

The fourth proportional to 231,715.71, 319,602.78 and 212,657.04 is: 293,315.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,715.71 : 319,602.78 = 212,657.04 : x
  2. Step 2: Convert to fraction form
    231,715.71/319,602.78 = 212,657.04/x
  3. Step 3: Cross multiply
    231,715.71x = 319,602.78 × 212,657.04
  4. Step 4: Simplify right side
    231,715.71x = 67,965,781,170.57
  5. Step 5: Solve for x
    x = 67,965,781,170.57/231,715.71
  6. Step 6: Final answer
    x = 293,315.38

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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.