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Finding the Fourth Proportional to 360,877.32, 498,000.96 and 199,739.16

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Solution

The fourth proportional to 360,877.32, 498,000.96 and 199,739.16 is: 275,634.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,877.32 : 498,000.96 = 199,739.16 : x
  2. Step 2: Convert to fraction form
    360,877.32/498,000.96 = 199,739.16/x
  3. Step 3: Cross multiply
    360,877.32x = 498,000.96 × 199,739.16
  4. Step 4: Simplify right side
    360,877.32x = 99,470,293,429.59
  5. Step 5: Solve for x
    x = 99,470,293,429.59/360,877.32
  6. Step 6: Final answer
    x = 275,634.65

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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.