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Finding the Fourth Proportional to 295,854, 408,278.52 and 161,718

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Solution

The fourth proportional to 295,854, 408,278.52 and 161,718 is: 223,170.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,854 : 408,278.52 = 161,718 : x
  2. Step 2: Convert to fraction form
    295,854/408,278.52 = 161,718/x
  3. Step 3: Cross multiply
    295,854x = 408,278.52 × 161,718
  4. Step 4: Simplify right side
    295,854x = 66,025,985,697.36
  5. Step 5: Solve for x
    x = 66,025,985,697.36/295,854
  6. Step 6: Final answer
    x = 223,170.84

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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.