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Finding the Fourth Proportional to 312,587, 431,364.10 and 174,765.36

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Solution

The fourth proportional to 312,587, 431,364.10 and 174,765.36 is: 241,172.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,587 : 431,364.10 = 174,765.36 : x
  2. Step 2: Convert to fraction form
    312,587/431,364.10 = 174,765.36/x
  3. Step 3: Cross multiply
    312,587x = 431,364.10 × 174,765.36
  4. Step 4: Simplify right side
    312,587x = 75,387,502,227.58
  5. Step 5: Solve for x
    x = 75,387,502,227.58/312,587
  6. Step 6: Final answer
    x = 241,172.86

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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.