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Finding the Fourth Proportional to 360,620.40, 497,650 and 199,475.31

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Solution

The fourth proportional to 360,620.40, 497,650 and 199,475.31 is: 275,272.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,620.40 : 497,650 = 199,475.31 : x
  2. Step 2: Convert to fraction form
    360,620.40/497,650 = 199,475.31/x
  3. Step 3: Cross multiply
    360,620.40x = 497,650 × 199,475.31
  4. Step 4: Simplify right side
    360,620.40x = 99,268,888,021.50
  5. Step 5: Solve for x
    x = 99,268,888,021.50/360,620.40
  6. Step 6: Final answer
    x = 275,272.52

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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.