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Finding the Fourth Proportional to 272,424, 408,636 and 75,432

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Solution

The fourth proportional to 272,424, 408,636 and 75,432 is: 113,148

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,424 : 408,636 = 75,432 : x
  2. Step 2: Convert to fraction form
    272,424/408,636 = 75,432/x
  3. Step 3: Cross multiply
    272,424x = 408,636 × 75,432
  4. Step 4: Simplify right side
    272,424x = 30,824,230,752
  5. Step 5: Solve for x
    x = 30,824,230,752/272,424
  6. Step 6: Final answer
    x = 113,148

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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.