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Finding the Fourth Proportional to 239,280.16, 330,206.64 and 138,736.48

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Solution

The fourth proportional to 239,280.16, 330,206.64 and 138,736.48 is: 191,456.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,280.16 : 330,206.64 = 138,736.48 : x
  2. Step 2: Convert to fraction form
    239,280.16/330,206.64 = 138,736.48/x
  3. Step 3: Cross multiply
    239,280.16x = 330,206.64 × 138,736.48
  4. Step 4: Simplify right side
    239,280.16x = 45,811,706,906.23
  5. Step 5: Solve for x
    x = 45,811,706,906.23/239,280.16
  6. Step 6: Final answer
    x = 191,456.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.