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Finding the Fourth Proportional to 326,041.89, 450,156.33 and 203,719.74

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Solution

The fourth proportional to 326,041.89, 450,156.33 and 203,719.74 is: 281,269.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,041.89 : 450,156.33 = 203,719.74 : x
  2. Step 2: Convert to fraction form
    326,041.89/450,156.33 = 203,719.74/x
  3. Step 3: Cross multiply
    326,041.89x = 450,156.33 × 203,719.74
  4. Step 4: Simplify right side
    326,041.89x = 91,705,730,506.95
  5. Step 5: Solve for x
    x = 91,705,730,506.95/326,041.89
  6. Step 6: Final answer
    x = 281,269.78

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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.