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Finding the Fourth Proportional to 298,218.64, 411,565.44 and 170,906.08

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Solution

The fourth proportional to 298,218.64, 411,565.44 and 170,906.08 is: 235,863.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,218.64 : 411,565.44 = 170,906.08 : x
  2. Step 2: Convert to fraction form
    298,218.64/411,565.44 = 170,906.08/x
  3. Step 3: Cross multiply
    298,218.64x = 411,565.44 × 170,906.08
  4. Step 4: Simplify right side
    298,218.64x = 70,339,036,013.88
  5. Step 5: Solve for x
    x = 70,339,036,013.88/298,218.64
  6. Step 6: Final answer
    x = 235,863.98

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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.