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Finding the Fourth Proportional to 431,487.30, 647,240.18 and 111,646.08

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Solution

The fourth proportional to 431,487.30, 647,240.18 and 111,646.08 is: 167,471.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,487.30 : 647,240.18 = 111,646.08 : x
  2. Step 2: Convert to fraction form
    431,487.30/647,240.18 = 111,646.08/x
  3. Step 3: Cross multiply
    431,487.30x = 647,240.18 × 111,646.08
  4. Step 4: Simplify right side
    431,487.30x = 72,261,828,915.49
  5. Step 5: Solve for x
    x = 72,261,828,915.49/431,487.30
  6. Step 6: Final answer
    x = 167,471.51

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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.