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Finding the Fourth Proportional to 360,909.23, 498,059.17 and 199,779.31

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Solution

The fourth proportional to 360,909.23, 498,059.17 and 199,779.31 is: 275,697.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,909.23 : 498,059.17 = 199,779.31 : x
  2. Step 2: Convert to fraction form
    360,909.23/498,059.17 = 199,779.31/x
  3. Step 3: Cross multiply
    360,909.23x = 498,059.17 × 199,779.31
  4. Step 4: Simplify right side
    360,909.23x = 99,501,915,577.18
  5. Step 5: Solve for x
    x = 99,501,915,577.18/360,909.23
  6. Step 6: Final answer
    x = 275,697.89

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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.