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Finding the Fourth Proportional to 431,939.96, 647,905.26 and 147,627.80

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Solution

The fourth proportional to 431,939.96, 647,905.26 and 147,627.80 is: 221,440.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,939.96 : 647,905.26 = 147,627.80 : x
  2. Step 2: Convert to fraction form
    431,939.96/647,905.26 = 147,627.80/x
  3. Step 3: Cross multiply
    431,939.96x = 647,905.26 × 147,627.80
  4. Step 4: Simplify right side
    431,939.96x = 95,648,828,142.23
  5. Step 5: Solve for x
    x = 95,648,828,142.23/431,939.96
  6. Step 6: Final answer
    x = 221,440.10

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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.