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Finding the Fourth Proportional to 272,484, 408,749.04 and 75,492

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Solution

The fourth proportional to 272,484, 408,749.04 and 75,492 is: 113,244.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,484 : 408,749.04 = 75,492 : x
  2. Step 2: Convert to fraction form
    272,484/408,749.04 = 75,492/x
  3. Step 3: Cross multiply
    272,484x = 408,749.04 × 75,492
  4. Step 4: Simplify right side
    272,484x = 30,857,282,527.68
  5. Step 5: Solve for x
    x = 30,857,282,527.68/272,484
  6. Step 6: Final answer
    x = 113,244.38

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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.