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Finding the Fourth Proportional to 371,786.54, 513,068.65 and 202,020.66

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Solution

The fourth proportional to 371,786.54, 513,068.65 and 202,020.66 is: 278,790.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,786.54 : 513,068.65 = 202,020.66 : x
  2. Step 2: Convert to fraction form
    371,786.54/513,068.65 = 202,020.66/x
  3. Step 3: Cross multiply
    371,786.54x = 513,068.65 × 202,020.66
  4. Step 4: Simplify right side
    371,786.54x = 103,650,466,793.26
  5. Step 5: Solve for x
    x = 103,650,466,793.26/371,786.54
  6. Step 6: Final answer
    x = 278,790.27

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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.