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Finding the Fourth Proportional to 360,980.88, 498,147.36 and 199,832.40

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Solution

The fourth proportional to 360,980.88, 498,147.36 and 199,832.40 is: 275,765.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,980.88 : 498,147.36 = 199,832.40 : x
  2. Step 2: Convert to fraction form
    360,980.88/498,147.36 = 199,832.40/x
  3. Step 3: Cross multiply
    360,980.88x = 498,147.36 × 199,832.40
  4. Step 4: Simplify right side
    360,980.88x = 99,545,982,502.46
  5. Step 5: Solve for x
    x = 99,545,982,502.46/360,980.88
  6. Step 6: Final answer
    x = 275,765.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.