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Finding the Fourth Proportional to 431,848.84, 647,749.92 and 132,330.28

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Solution

The fourth proportional to 431,848.84, 647,749.92 and 132,330.28 is: 198,488.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,848.84 : 647,749.92 = 132,330.28 : x
  2. Step 2: Convert to fraction form
    431,848.84/647,749.92 = 132,330.28/x
  3. Step 3: Cross multiply
    431,848.84x = 647,749.92 × 132,330.28
  4. Step 4: Simplify right side
    431,848.84x = 85,716,928,283.58
  5. Step 5: Solve for x
    x = 85,716,928,283.58/431,848.84
  6. Step 6: Final answer
    x = 198,488.27

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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.