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Finding the Fourth Proportional to 431,713.12, 647,567.52 and 116,144.32

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Solution

The fourth proportional to 431,713.12, 647,567.52 and 116,144.32 is: 174,215.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,713.12 : 647,567.52 = 116,144.32 : x
  2. Step 2: Convert to fraction form
    431,713.12/647,567.52 = 116,144.32/x
  3. Step 3: Cross multiply
    431,713.12x = 647,567.52 × 116,144.32
  4. Step 4: Simplify right side
    431,713.12x = 75,211,289,264.49
  5. Step 5: Solve for x
    x = 75,211,289,264.49/431,713.12
  6. Step 6: Final answer
    x = 174,215.90

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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.