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Finding the Fourth Proportional to 371,919, 513,246.30 and 202,154.04

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Solution

The fourth proportional to 371,919, 513,246.30 and 202,154.04 is: 278,971.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,919 : 513,246.30 = 202,154.04 : x
  2. Step 2: Convert to fraction form
    371,919/513,246.30 = 202,154.04/x
  3. Step 3: Cross multiply
    371,919x = 513,246.30 × 202,154.04
  4. Step 4: Simplify right side
    371,919x = 103,754,813,060.05
  5. Step 5: Solve for x
    x = 103,754,813,060.05/371,919
  6. Step 6: Final answer
    x = 278,971.53

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1.5x scale

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.