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Finding the Fourth Proportional to 202,294.40, 278,878.40 and 138,531.20

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Solution

The fourth proportional to 202,294.40, 278,878.40 and 138,531.20 is: 190,975.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,294.40 : 278,878.40 = 138,531.20 : x
  2. Step 2: Convert to fraction form
    202,294.40/278,878.40 = 138,531.20/x
  3. Step 3: Cross multiply
    202,294.40x = 278,878.40 × 138,531.20
  4. Step 4: Simplify right side
    202,294.40x = 38,633,359,406.08
  5. Step 5: Solve for x
    x = 38,633,359,406.08/202,294.40
  6. Step 6: Final answer
    x = 190,975.92

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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.