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Finding the Fourth Proportional to 371,920.44, 513,250.92 and 202,154.16

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Solution

The fourth proportional to 371,920.44, 513,250.92 and 202,154.16 is: 278,973.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,920.44 : 513,250.92 = 202,154.16 : x
  2. Step 2: Convert to fraction form
    371,920.44/513,250.92 = 202,154.16/x
  3. Step 3: Cross multiply
    371,920.44x = 513,250.92 × 202,154.16
  4. Step 4: Simplify right side
    371,920.44x = 103,755,808,601.83
  5. Step 5: Solve for x
    x = 103,755,808,601.83/371,920.44
  6. Step 6: Final answer
    x = 278,973.13

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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.