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Finding the Fourth Proportional to 431,939.20, 647,908.80 and 207,261.40

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Solution

The fourth proportional to 431,939.20, 647,908.80 and 207,261.40 is: 310,892.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,939.20 : 647,908.80 = 207,261.40 : x
  2. Step 2: Convert to fraction form
    431,939.20/647,908.80 = 207,261.40/x
  3. Step 3: Cross multiply
    431,939.20x = 647,908.80 × 207,261.40
  4. Step 4: Simplify right side
    431,939.20x = 134,286,484,960.32
  5. Step 5: Solve for x
    x = 134,286,484,960.32/431,939.20
  6. Step 6: Final answer
    x = 310,892.10

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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.