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Finding the Fourth Proportional to 431,381.10, 647,071.65 and 221,429.10

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Solution

The fourth proportional to 431,381.10, 647,071.65 and 221,429.10 is: 332,143.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,381.10 : 647,071.65 = 221,429.10 : x
  2. Step 2: Convert to fraction form
    431,381.10/647,071.65 = 221,429.10/x
  3. Step 3: Cross multiply
    431,381.10x = 647,071.65 × 221,429.10
  4. Step 4: Simplify right side
    431,381.10x = 143,280,493,095.02
  5. Step 5: Solve for x
    x = 143,280,493,095.02/431,381.10
  6. Step 6: Final answer
    x = 332,143.65

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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.