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Finding the Fourth Proportional to 431,488.30, 647,241.68 and 111,647.08

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Solution

The fourth proportional to 431,488.30, 647,241.68 and 111,647.08 is: 167,473.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,488.30 : 647,241.68 = 111,647.08 : x
  2. Step 2: Convert to fraction form
    431,488.30/647,241.68 = 111,647.08/x
  3. Step 3: Cross multiply
    431,488.30x = 647,241.68 × 111,647.08
  4. Step 4: Simplify right side
    431,488.30x = 72,262,643,626.29
  5. Step 5: Solve for x
    x = 72,262,643,626.29/431,488.30
  6. Step 6: Final answer
    x = 167,473.01

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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.