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Finding the Fourth Proportional to 256,850.40, 387,200.64 and 239,724

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Solution

The fourth proportional to 256,850.40, 387,200.64 and 239,724 is: 361,382.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,850.40 : 387,200.64 = 239,724 : x
  2. Step 2: Convert to fraction form
    256,850.40/387,200.64 = 239,724/x
  3. Step 3: Cross multiply
    256,850.40x = 387,200.64 × 239,724
  4. Step 4: Simplify right side
    256,850.40x = 92,821,286,223.36
  5. Step 5: Solve for x
    x = 92,821,286,223.36/256,850.40
  6. Step 6: Final answer
    x = 361,382.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.