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Finding the Fourth Proportional to 217,565.78, 326,478.10 and 117,723.98

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Solution

The fourth proportional to 217,565.78, 326,478.10 and 117,723.98 is: 176,656.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,565.78 : 326,478.10 = 117,723.98 : x
  2. Step 2: Convert to fraction form
    217,565.78/326,478.10 = 117,723.98/x
  3. Step 3: Cross multiply
    217,565.78x = 326,478.10 × 117,723.98
  4. Step 4: Simplify right side
    217,565.78x = 38,434,301,314.84
  5. Step 5: Solve for x
    x = 38,434,301,314.84/217,565.78
  6. Step 6: Final answer
    x = 176,656.00

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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.