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Finding the Fourth Proportional to 275,712.80, 413,617.80 and 98,322.80

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Solution

The fourth proportional to 275,712.80, 413,617.80 and 98,322.80 is: 147,501.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,712.80 : 413,617.80 = 98,322.80 : x
  2. Step 2: Convert to fraction form
    275,712.80/413,617.80 = 98,322.80/x
  3. Step 3: Cross multiply
    275,712.80x = 413,617.80 × 98,322.80
  4. Step 4: Simplify right side
    275,712.80x = 40,668,060,225.84
  5. Step 5: Solve for x
    x = 40,668,060,225.84/275,712.80
  6. Step 6: Final answer
    x = 147,501.53

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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.