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Finding the Fourth Proportional to 328,086.60, 491,741.10 and 170,233.80

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Solution

The fourth proportional to 328,086.60, 491,741.10 and 170,233.80 is: 255,148.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,086.60 : 491,741.10 = 170,233.80 : x
  2. Step 2: Convert to fraction form
    328,086.60/491,741.10 = 170,233.80/x
  3. Step 3: Cross multiply
    328,086.60x = 491,741.10 × 170,233.80
  4. Step 4: Simplify right side
    328,086.60x = 83,710,956,069.18
  5. Step 5: Solve for x
    x = 83,710,956,069.18/328,086.60
  6. Step 6: Final answer
    x = 255,148.96

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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.