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Finding the Fourth Proportional to 312,987.50, 431,922.75 and 178,851.50

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Solution

The fourth proportional to 312,987.50, 431,922.75 and 178,851.50 is: 246,815.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,987.50 : 431,922.75 = 178,851.50 : x
  2. Step 2: Convert to fraction form
    312,987.50/431,922.75 = 178,851.50/x
  3. Step 3: Cross multiply
    312,987.50x = 431,922.75 × 178,851.50
  4. Step 4: Simplify right side
    312,987.50x = 77,250,031,721.63
  5. Step 5: Solve for x
    x = 77,250,031,721.63/312,987.50
  6. Step 6: Final answer
    x = 246,815.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.