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Finding the Fourth Proportional to 278,110.40, 417,165.60 and 171,822.20

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Solution

The fourth proportional to 278,110.40, 417,165.60 and 171,822.20 is: 257,733.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,110.40 : 417,165.60 = 171,822.20 : x
  2. Step 2: Convert to fraction form
    278,110.40/417,165.60 = 171,822.20/x
  3. Step 3: Cross multiply
    278,110.40x = 417,165.60 × 171,822.20
  4. Step 4: Simplify right side
    278,110.40x = 71,678,311,156.32
  5. Step 5: Solve for x
    x = 71,678,311,156.32/278,110.40
  6. Step 6: Final answer
    x = 257,733.30

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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.