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Finding the Fourth Proportional to 272,503.82, 408,838.95 and 139,478.33

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Solution

The fourth proportional to 272,503.82, 408,838.95 and 139,478.33 is: 209,260.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,503.82 : 408,838.95 = 139,478.33 : x
  2. Step 2: Convert to fraction form
    272,503.82/408,838.95 = 139,478.33/x
  3. Step 3: Cross multiply
    272,503.82x = 408,838.95 × 139,478.33
  4. Step 4: Simplify right side
    272,503.82x = 57,024,171,940.76
  5. Step 5: Solve for x
    x = 57,024,171,940.76/272,503.82
  6. Step 6: Final answer
    x = 209,260.09

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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.