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Finding the Fourth Proportional to 431,661.40, 647,492.10 and 332,013.40

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Solution

The fourth proportional to 431,661.40, 647,492.10 and 332,013.40 is: 498,020.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,661.40 : 647,492.10 = 332,013.40 : x
  2. Step 2: Convert to fraction form
    431,661.40/647,492.10 = 332,013.40/x
  3. Step 3: Cross multiply
    431,661.40x = 647,492.10 × 332,013.40
  4. Step 4: Simplify right side
    431,661.40x = 214,976,053,594.14
  5. Step 5: Solve for x
    x = 214,976,053,594.14/431,661.40
  6. Step 6: Final answer
    x = 498,020.10

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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.