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Finding the Fourth Proportional to 272,167.67, 407,378.01 and 145,491.14

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Solution

The fourth proportional to 272,167.67, 407,378.01 and 145,491.14 is: 217,769.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,167.67 : 407,378.01 = 145,491.14 : x
  2. Step 2: Convert to fraction form
    272,167.67/407,378.01 = 145,491.14/x
  3. Step 3: Cross multiply
    272,167.67x = 407,378.01 × 145,491.14
  4. Step 4: Simplify right side
    272,167.67x = 59,269,891,085.83
  5. Step 5: Solve for x
    x = 59,269,891,085.83/272,167.67
  6. Step 6: Final answer
    x = 217,769.77

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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.