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Finding the Fourth Proportional to 415,242.80, 622,864.20 and 134,788.40

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Solution

The fourth proportional to 415,242.80, 622,864.20 and 134,788.40 is: 202,182.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,242.80 : 622,864.20 = 134,788.40 : x
  2. Step 2: Convert to fraction form
    415,242.80/622,864.20 = 134,788.40/x
  3. Step 3: Cross multiply
    415,242.80x = 622,864.20 × 134,788.40
  4. Step 4: Simplify right side
    415,242.80x = 83,954,868,935.28
  5. Step 5: Solve for x
    x = 83,954,868,935.28/415,242.80
  6. Step 6: Final answer
    x = 202,182.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.