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Finding the Fourth Proportional to 272,486.80, 408,730.20 and 209,428.30

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Solution

The fourth proportional to 272,486.80, 408,730.20 and 209,428.30 is: 314,142.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,486.80 : 408,730.20 = 209,428.30 : x
  2. Step 2: Convert to fraction form
    272,486.80/408,730.20 = 209,428.30/x
  3. Step 3: Cross multiply
    272,486.80x = 408,730.20 × 209,428.30
  4. Step 4: Simplify right side
    272,486.80x = 85,599,670,944.66
  5. Step 5: Solve for x
    x = 85,599,670,944.66/272,486.80
  6. Step 6: Final answer
    x = 314,142.45

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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.