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Finding the Fourth Proportional to 235,274, 324,678.12 and 129,290

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Solution

The fourth proportional to 235,274, 324,678.12 and 129,290 is: 178,420.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,274 : 324,678.12 = 129,290 : x
  2. Step 2: Convert to fraction form
    235,274/324,678.12 = 129,290/x
  3. Step 3: Cross multiply
    235,274x = 324,678.12 × 129,290
  4. Step 4: Simplify right side
    235,274x = 41,977,634,134.80
  5. Step 5: Solve for x
    x = 41,977,634,134.80/235,274
  6. Step 6: Final answer
    x = 178,420.20

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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.