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Finding the Fourth Proportional to 278,424.94, 384,226.22 and 157,564.03

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Solution

The fourth proportional to 278,424.94, 384,226.22 and 157,564.03 is: 217,438.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,424.94 : 384,226.22 = 157,564.03 : x
  2. Step 2: Convert to fraction form
    278,424.94/384,226.22 = 157,564.03/x
  3. Step 3: Cross multiply
    278,424.94x = 384,226.22 × 157,564.03
  4. Step 4: Simplify right side
    278,424.94x = 60,540,230,867.05
  5. Step 5: Solve for x
    x = 60,540,230,867.05/278,424.94
  6. Step 6: Final answer
    x = 217,438.25

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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.