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Finding the Fourth Proportional to 295,470, 407,749.68 and 161,334

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Solution

The fourth proportional to 295,470, 407,749.68 and 161,334 is: 222,641.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,470 : 407,749.68 = 161,334 : x
  2. Step 2: Convert to fraction form
    295,470/407,749.68 = 161,334/x
  3. Step 3: Cross multiply
    295,470x = 407,749.68 × 161,334
  4. Step 4: Simplify right side
    295,470x = 65,783,886,873.12
  5. Step 5: Solve for x
    x = 65,783,886,873.12/295,470
  6. Step 6: Final answer
    x = 222,641.51

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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.