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Finding the Fourth Proportional to 348,422.80, 480,832.86 and 205,156.48

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Solution

The fourth proportional to 348,422.80, 480,832.86 and 205,156.48 is: 283,121.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,422.80 : 480,832.86 = 205,156.48 : x
  2. Step 2: Convert to fraction form
    348,422.80/480,832.86 = 205,156.48/x
  3. Step 3: Cross multiply
    348,422.80x = 480,832.86 × 205,156.48
  4. Step 4: Simplify right side
    348,422.80x = 98,645,977,025.93
  5. Step 5: Solve for x
    x = 98,645,977,025.93/348,422.80
  6. Step 6: Final answer
    x = 283,121.47

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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.