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Finding the Fourth Proportional to 397,693.65, 596,633.92 and 131,454.18

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Solution

The fourth proportional to 397,693.65, 596,633.92 and 131,454.18 is: 197,212.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,693.65 : 596,633.92 = 131,454.18 : x
  2. Step 2: Convert to fraction form
    397,693.65/596,633.92 = 131,454.18/x
  3. Step 3: Cross multiply
    397,693.65x = 596,633.92 × 131,454.18
  4. Step 4: Simplify right side
    397,693.65x = 78,430,020,147.77
  5. Step 5: Solve for x
    x = 78,430,020,147.77/397,693.65
  6. Step 6: Final answer
    x = 197,212.15

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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.