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Finding the Fourth Proportional to 431,853.32, 647,706.54 and 116,239.88

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Solution

The fourth proportional to 431,853.32, 647,706.54 and 116,239.88 is: 174,340.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,853.32 : 647,706.54 = 116,239.88 : x
  2. Step 2: Convert to fraction form
    431,853.32/647,706.54 = 116,239.88/x
  3. Step 3: Cross multiply
    431,853.32x = 647,706.54 × 116,239.88
  4. Step 4: Simplify right side
    431,853.32x = 75,289,330,484.82
  5. Step 5: Solve for x
    x = 75,289,330,484.82/431,853.32
  6. Step 6: Final answer
    x = 174,340.05

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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.