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Finding the Fourth Proportional to 380,478.77, 523,865.66 and 322,998.95

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Solution

The fourth proportional to 380,478.77, 523,865.66 and 322,998.95 is: 444,724.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,478.77 : 523,865.66 = 322,998.95 : x
  2. Step 2: Convert to fraction form
    380,478.77/523,865.66 = 322,998.95/x
  3. Step 3: Cross multiply
    380,478.77x = 523,865.66 × 322,998.95
  4. Step 4: Simplify right side
    380,478.77x = 169,208,053,886.73
  5. Step 5: Solve for x
    x = 169,208,053,886.73/380,478.77
  6. Step 6: Final answer
    x = 444,724.04

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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.