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Finding the Fourth Proportional to 431,492.12, 647,237.62 and 115,949.03

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Solution

The fourth proportional to 431,492.12, 647,237.62 and 115,949.03 is: 173,923.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,492.12 : 647,237.62 = 115,949.03 : x
  2. Step 2: Convert to fraction form
    431,492.12/647,237.62 = 115,949.03/x
  3. Step 3: Cross multiply
    431,492.12x = 647,237.62 × 115,949.03
  4. Step 4: Simplify right side
    431,492.12x = 75,046,574,218.51
  5. Step 5: Solve for x
    x = 75,046,574,218.51/431,492.12
  6. Step 6: Final answer
    x = 173,923.39

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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.