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Finding the Fourth Proportional to 321,402.60, 443,505.78 and 178,150.46

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Solution

The fourth proportional to 321,402.60, 443,505.78 and 178,150.46 is: 245,831.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,402.60 : 443,505.78 = 178,150.46 : x
  2. Step 2: Convert to fraction form
    321,402.60/443,505.78 = 178,150.46/x
  3. Step 3: Cross multiply
    321,402.60x = 443,505.78 × 178,150.46
  4. Step 4: Simplify right side
    321,402.60x = 79,010,758,719.66
  5. Step 5: Solve for x
    x = 79,010,758,719.66/321,402.60
  6. Step 6: Final answer
    x = 245,831.11

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1.5x scale

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.