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Finding the Fourth Proportional to 272,199.40, 408,299.10 and 202,215.40

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Solution

The fourth proportional to 272,199.40, 408,299.10 and 202,215.40 is: 303,323.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,199.40 : 408,299.10 = 202,215.40 : x
  2. Step 2: Convert to fraction form
    272,199.40/408,299.10 = 202,215.40/x
  3. Step 3: Cross multiply
    272,199.40x = 408,299.10 × 202,215.40
  4. Step 4: Simplify right side
    272,199.40x = 82,564,365,826.14
  5. Step 5: Solve for x
    x = 82,564,365,826.14/272,199.40
  6. Step 6: Final answer
    x = 303,323.10

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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.