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Finding the Fourth Proportional to 978,228.24, 1,467,344.52 and 268,266.48

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Solution

The fourth proportional to 978,228.24, 1,467,344.52 and 268,266.48 is: 402,400.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,228.24 : 1,467,344.52 = 268,266.48 : x
  2. Step 2: Convert to fraction form
    978,228.24/1,467,344.52 = 268,266.48/x
  3. Step 3: Cross multiply
    978,228.24x = 1,467,344.52 × 268,266.48
  4. Step 4: Simplify right side
    978,228.24x = 393,639,349,327.69
  5. Step 5: Solve for x
    x = 393,639,349,327.69/978,228.24
  6. Step 6: Final answer
    x = 402,400.31

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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.