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Finding the Fourth Proportional to 381,200, 525,711.60 and 237,973.28

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Solution

The fourth proportional to 381,200, 525,711.60 and 237,973.28 is: 328,188.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,200 : 525,711.60 = 237,973.28 : x
  2. Step 2: Convert to fraction form
    381,200/525,711.60 = 237,973.28/x
  3. Step 3: Cross multiply
    381,200x = 525,711.60 × 237,973.28
  4. Step 4: Simplify right side
    381,200x = 125,105,313,786.05
  5. Step 5: Solve for x
    x = 125,105,313,786.05/381,200
  6. Step 6: Final answer
    x = 328,188.13

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1.5x scale

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.