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Finding the Fourth Proportional to 656,971.32, 985,448.34 and 158,331

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Solution

The fourth proportional to 656,971.32, 985,448.34 and 158,331 is: 237,494.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,971.32 : 985,448.34 = 158,331 : x
  2. Step 2: Convert to fraction form
    656,971.32/985,448.34 = 158,331/x
  3. Step 3: Cross multiply
    656,971.32x = 985,448.34 × 158,331
  4. Step 4: Simplify right side
    656,971.32x = 156,027,021,120.54
  5. Step 5: Solve for x
    x = 156,027,021,120.54/656,971.32
  6. Step 6: Final answer
    x = 237,494.42

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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.