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Finding the Fourth Proportional to 371,946.78, 513,286.90 and 202,180.90

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Solution

The fourth proportional to 371,946.78, 513,286.90 and 202,180.90 is: 279,009.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,946.78 : 513,286.90 = 202,180.90 : x
  2. Step 2: Convert to fraction form
    371,946.78/513,286.90 = 202,180.90/x
  3. Step 3: Cross multiply
    371,946.78x = 513,286.90 × 202,180.90
  4. Step 4: Simplify right side
    371,946.78x = 103,776,807,400.21
  5. Step 5: Solve for x
    x = 103,776,807,400.21/371,946.78
  6. Step 6: Final answer
    x = 279,009.83

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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.