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Finding the Fourth Proportional to 270,385.88, 405,584.28 and 83,397.40

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Solution

The fourth proportional to 270,385.88, 405,584.28 and 83,397.40 is: 125,097.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,385.88 : 405,584.28 = 83,397.40 : x
  2. Step 2: Convert to fraction form
    270,385.88/405,584.28 = 83,397.40/x
  3. Step 3: Cross multiply
    270,385.88x = 405,584.28 × 83,397.40
  4. Step 4: Simplify right side
    270,385.88x = 33,824,674,432.87
  5. Step 5: Solve for x
    x = 33,824,674,432.87/270,385.88
  6. Step 6: Final answer
    x = 125,097.78

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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.