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Finding the Fourth Proportional to 272,315.70, 407,890.35 and 219,827.70

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Solution

The fourth proportional to 272,315.70, 407,890.35 and 219,827.70 is: 329,270.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,315.70 : 407,890.35 = 219,827.70 : x
  2. Step 2: Convert to fraction form
    272,315.70/407,890.35 = 219,827.70/x
  3. Step 3: Cross multiply
    272,315.70x = 407,890.35 × 219,827.70
  4. Step 4: Simplify right side
    272,315.70x = 89,665,597,492.70
  5. Step 5: Solve for x
    x = 89,665,597,492.70/272,315.70
  6. Step 6: Final answer
    x = 329,270.76

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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.