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Finding the Fourth Proportional to 431,641.45, 647,521.26 and 147,255.65

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Solution

The fourth proportional to 431,641.45, 647,521.26 and 147,255.65 is: 220,903.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,641.45 : 647,521.26 = 147,255.65 : x
  2. Step 2: Convert to fraction form
    431,641.45/647,521.26 = 147,255.65/x
  3. Step 3: Cross multiply
    431,641.45x = 647,521.26 × 147,255.65
  4. Step 4: Simplify right side
    431,641.45x = 95,351,164,030.12
  5. Step 5: Solve for x
    x = 95,351,164,030.12/431,641.45
  6. Step 6: Final answer
    x = 220,903.63

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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.