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Finding the Fourth Proportional to 371,920, 513,247.68 and 202,155.04

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Solution

The fourth proportional to 371,920, 513,247.68 and 202,155.04 is: 278,972.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,920 : 513,247.68 = 202,155.04 : x
  2. Step 2: Convert to fraction form
    371,920/513,247.68 = 202,155.04/x
  3. Step 3: Cross multiply
    371,920x = 513,247.68 × 202,155.04
  4. Step 4: Simplify right side
    371,920x = 103,755,605,280.31
  5. Step 5: Solve for x
    x = 103,755,605,280.31/371,920
  6. Step 6: Final answer
    x = 278,972.91

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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.