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Finding the Fourth Proportional to 375,520, 518,217.60 and 205,760.20

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Solution

The fourth proportional to 375,520, 518,217.60 and 205,760.20 is: 283,949.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,520 : 518,217.60 = 205,760.20 : x
  2. Step 2: Convert to fraction form
    375,520/518,217.60 = 205,760.20/x
  3. Step 3: Cross multiply
    375,520x = 518,217.60 × 205,760.20
  4. Step 4: Simplify right side
    375,520x = 106,628,557,019.52
  5. Step 5: Solve for x
    x = 106,628,557,019.52/375,520
  6. Step 6: Final answer
    x = 283,949.08

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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.