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Finding the Fourth Proportional to 415,270.32, 622,708.20 and 215,390.40

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Solution

The fourth proportional to 415,270.32, 622,708.20 and 215,390.40 is: 322,983.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,270.32 : 622,708.20 = 215,390.40 : x
  2. Step 2: Convert to fraction form
    415,270.32/622,708.20 = 215,390.40/x
  3. Step 3: Cross multiply
    415,270.32x = 622,708.20 × 215,390.40
  4. Step 4: Simplify right side
    415,270.32x = 134,125,368,281.28
  5. Step 5: Solve for x
    x = 134,125,368,281.28/415,270.32
  6. Step 6: Final answer
    x = 322,983.28

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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.