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Finding the Fourth Proportional to 360,775.80, 497,871.48 and 199,641.90

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Solution

The fourth proportional to 360,775.80, 497,871.48 and 199,641.90 is: 275,506.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,775.80 : 497,871.48 = 199,641.90 : x
  2. Step 2: Convert to fraction form
    360,775.80/497,871.48 = 199,641.90/x
  3. Step 3: Cross multiply
    360,775.80x = 497,871.48 × 199,641.90
  4. Step 4: Simplify right side
    360,775.80x = 99,396,008,223.01
  5. Step 5: Solve for x
    x = 99,396,008,223.01/360,775.80
  6. Step 6: Final answer
    x = 275,506.31

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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.