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Finding the Fourth Proportional to 272,859.81, 409,569.02 and 225,323.45

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Solution

The fourth proportional to 272,859.81, 409,569.02 and 225,323.45 is: 338,215.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,859.81 : 409,569.02 = 225,323.45 : x
  2. Step 2: Convert to fraction form
    272,859.81/409,569.02 = 225,323.45/x
  3. Step 3: Cross multiply
    272,859.81x = 409,569.02 × 225,323.45
  4. Step 4: Simplify right side
    272,859.81x = 92,285,501,425.06
  5. Step 5: Solve for x
    x = 92,285,501,425.06/272,859.81
  6. Step 6: Final answer
    x = 338,215.81

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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.