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Finding the Fourth Proportional to 431,975.16, 647,888.90 and 116,358.26

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Solution

The fourth proportional to 431,975.16, 647,888.90 and 116,358.26 is: 174,517.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,975.16 : 647,888.90 = 116,358.26 : x
  2. Step 2: Convert to fraction form
    431,975.16/647,888.90 = 116,358.26/x
  3. Step 3: Cross multiply
    431,975.16x = 647,888.90 × 116,358.26
  4. Step 4: Simplify right side
    431,975.16x = 75,387,221,256.08
  5. Step 5: Solve for x
    x = 75,387,221,256.08/431,975.16
  6. Step 6: Final answer
    x = 174,517.49

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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.