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Finding the Fourth Proportional to 431,867.88, 647,903.88 and 165,622.50

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Solution

The fourth proportional to 431,867.88, 647,903.88 and 165,622.50 is: 248,472.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,867.88 : 647,903.88 = 165,622.50 : x
  2. Step 2: Convert to fraction form
    431,867.88/647,903.88 = 165,622.50/x
  3. Step 3: Cross multiply
    431,867.88x = 647,903.88 × 165,622.50
  4. Step 4: Simplify right side
    431,867.88x = 107,307,460,365.30
  5. Step 5: Solve for x
    x = 107,307,460,365.30/431,867.88
  6. Step 6: Final answer
    x = 248,472.89

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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.