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Finding the Fourth Proportional to 275,729.40, 413,595.72 and 98,243.28

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Solution

The fourth proportional to 275,729.40, 413,595.72 and 98,243.28 is: 147,365.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,729.40 : 413,595.72 = 98,243.28 : x
  2. Step 2: Convert to fraction form
    275,729.40/413,595.72 = 98,243.28/x
  3. Step 3: Cross multiply
    275,729.40x = 413,595.72 × 98,243.28
  4. Step 4: Simplify right side
    275,729.40x = 40,633,000,126.76
  5. Step 5: Solve for x
    x = 40,633,000,126.76/275,729.40
  6. Step 6: Final answer
    x = 147,365.50

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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.