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Finding the Fourth Proportional to 328,909.92, 492,967.57 and 160,177.40

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Solution

The fourth proportional to 328,909.92, 492,967.57 and 160,177.40 is: 240,072.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,909.92 : 492,967.57 = 160,177.40 : x
  2. Step 2: Convert to fraction form
    328,909.92/492,967.57 = 160,177.40/x
  3. Step 3: Cross multiply
    328,909.92x = 492,967.57 × 160,177.40
  4. Step 4: Simplify right side
    328,909.92x = 78,962,262,930.60
  5. Step 5: Solve for x
    x = 78,962,262,930.60/328,909.92
  6. Step 6: Final answer
    x = 240,072.61

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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.