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Finding the Fourth Proportional to 348,896.80, 523,561.20 and 138,512.80

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Solution

The fourth proportional to 348,896.80, 523,561.20 and 138,512.80 is: 207,854.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,896.80 : 523,561.20 = 138,512.80 : x
  2. Step 2: Convert to fraction form
    348,896.80/523,561.20 = 138,512.80/x
  3. Step 3: Cross multiply
    348,896.80x = 523,561.20 × 138,512.80
  4. Step 4: Simplify right side
    348,896.80x = 72,519,927,783.36
  5. Step 5: Solve for x
    x = 72,519,927,783.36/348,896.80
  6. Step 6: Final answer
    x = 207,854.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.