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Finding the Fourth Proportional to 431,872.74, 647,810.20 and 221,395.86

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Solution

The fourth proportional to 431,872.74, 647,810.20 and 221,395.86 is: 332,094.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,872.74 : 647,810.20 = 221,395.86 : x
  2. Step 2: Convert to fraction form
    431,872.74/647,810.20 = 221,395.86/x
  3. Step 3: Cross multiply
    431,872.74x = 647,810.20 × 221,395.86
  4. Step 4: Simplify right side
    431,872.74x = 143,422,496,345.77
  5. Step 5: Solve for x
    x = 143,422,496,345.77/431,872.74
  6. Step 6: Final answer
    x = 332,094.35

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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.