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Finding the Fourth Proportional to 272,428, 408,642 and 75,436

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Solution

The fourth proportional to 272,428, 408,642 and 75,436 is: 113,154

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,428 : 408,642 = 75,436 : x
  2. Step 2: Convert to fraction form
    272,428/408,642 = 75,436/x
  3. Step 3: Cross multiply
    272,428x = 408,642 × 75,436
  4. Step 4: Simplify right side
    272,428x = 30,826,317,912
  5. Step 5: Solve for x
    x = 30,826,317,912/272,428
  6. Step 6: Final answer
    x = 113,154

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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.