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Finding the Fourth Proportional to 272,477.40, 408,599.46 and 85,503.48

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Solution

The fourth proportional to 272,477.40, 408,599.46 and 85,503.48 is: 128,218.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,477.40 : 408,599.46 = 85,503.48 : x
  2. Step 2: Convert to fraction form
    272,477.40/408,599.46 = 85,503.48/x
  3. Step 3: Cross multiply
    272,477.40x = 408,599.46 × 85,503.48
  4. Step 4: Simplify right side
    272,477.40x = 34,936,675,756.12
  5. Step 5: Solve for x
    x = 34,936,675,756.12/272,477.40
  6. Step 6: Final answer
    x = 128,218.62

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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.