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Finding the Fourth Proportional to 326,722.60, 489,824.70 and 178,978.60

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Solution

The fourth proportional to 326,722.60, 489,824.70 and 178,978.60 is: 268,325.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,722.60 : 489,824.70 = 178,978.60 : x
  2. Step 2: Convert to fraction form
    326,722.60/489,824.70 = 178,978.60/x
  3. Step 3: Cross multiply
    326,722.60x = 489,824.70 × 178,978.60
  4. Step 4: Simplify right side
    326,722.60x = 87,668,139,051.42
  5. Step 5: Solve for x
    x = 87,668,139,051.42/326,722.60
  6. Step 6: Final answer
    x = 268,325.91

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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.