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Finding the Fourth Proportional to 272,206.28, 407,510.96 and 190,871.28

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Solution

The fourth proportional to 272,206.28, 407,510.96 and 190,871.28 is: 285,747.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,206.28 : 407,510.96 = 190,871.28 : x
  2. Step 2: Convert to fraction form
    272,206.28/407,510.96 = 190,871.28/x
  3. Step 3: Cross multiply
    272,206.28x = 407,510.96 × 190,871.28
  4. Step 4: Simplify right side
    272,206.28x = 77,782,138,549.23
  5. Step 5: Solve for x
    x = 77,782,138,549.23/272,206.28
  6. Step 6: Final answer
    x = 285,747.04

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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.