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Finding the Fourth Proportional to 272,290.30, 408,474.32 and 85,316.38

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Solution

The fourth proportional to 272,290.30, 408,474.32 and 85,316.38 is: 127,986.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,290.30 : 408,474.32 = 85,316.38 : x
  2. Step 2: Convert to fraction form
    272,290.30/408,474.32 = 85,316.38/x
  3. Step 3: Cross multiply
    272,290.30x = 408,474.32 × 85,316.38
  4. Step 4: Simplify right side
    272,290.30x = 34,849,550,305.36
  5. Step 5: Solve for x
    x = 34,849,550,305.36/272,290.30
  6. Step 6: Final answer
    x = 127,986.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.