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Finding the Fourth Proportional to 644,345.42, 966,147.75 and 265,527.65

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Solution

The fourth proportional to 644,345.42, 966,147.75 and 265,527.65 is: 398,138.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,345.42 : 966,147.75 = 265,527.65 : x
  2. Step 2: Convert to fraction form
    644,345.42/966,147.75 = 265,527.65/x
  3. Step 3: Cross multiply
    644,345.42x = 966,147.75 × 265,527.65
  4. Step 4: Simplify right side
    644,345.42x = 256,538,944,025.66
  5. Step 5: Solve for x
    x = 256,538,944,025.66/644,345.42
  6. Step 6: Final answer
    x = 398,138.85

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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.