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Finding the Fourth Proportional to 288,896.80, 432,826.80 and 247,424.80

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Solution

The fourth proportional to 288,896.80, 432,826.80 and 247,424.80 is: 370,693.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,896.80 : 432,826.80 = 247,424.80 : x
  2. Step 2: Convert to fraction form
    288,896.80/432,826.80 = 247,424.80/x
  3. Step 3: Cross multiply
    288,896.80x = 432,826.80 × 247,424.80
  4. Step 4: Simplify right side
    288,896.80x = 107,092,084,424.64
  5. Step 5: Solve for x
    x = 107,092,084,424.64/288,896.80
  6. Step 6: Final answer
    x = 370,693.22

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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.