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Finding the Fourth Proportional to 278,215.92, 417,365.46 and 100,764.36

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Solution

The fourth proportional to 278,215.92, 417,365.46 and 100,764.36 is: 151,161.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,215.92 : 417,365.46 = 100,764.36 : x
  2. Step 2: Convert to fraction form
    278,215.92/417,365.46 = 100,764.36/x
  3. Step 3: Cross multiply
    278,215.92x = 417,365.46 × 100,764.36
  4. Step 4: Simplify right side
    278,215.92x = 42,055,563,463.01
  5. Step 5: Solve for x
    x = 42,055,563,463.01/278,215.92
  6. Step 6: Final answer
    x = 151,161.60

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1.5x scale

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.