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Finding the Fourth Proportional to 278,246.70, 417,187.80 and 109,665.45

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Solution

The fourth proportional to 278,246.70, 417,187.80 and 109,665.45 is: 164,426.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,246.70 : 417,187.80 = 109,665.45 : x
  2. Step 2: Convert to fraction form
    278,246.70/417,187.80 = 109,665.45/x
  3. Step 3: Cross multiply
    278,246.70x = 417,187.80 × 109,665.45
  4. Step 4: Simplify right side
    278,246.70x = 45,751,087,821.51
  5. Step 5: Solve for x
    x = 45,751,087,821.51/278,246.70
  6. Step 6: Final answer
    x = 164,426.34

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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.