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Finding the Fourth Proportional to 278,263.68, 417,026.40 and 151,578.96

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Solution

The fourth proportional to 278,263.68, 417,026.40 and 151,578.96 is: 227,167.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,263.68 : 417,026.40 = 151,578.96 : x
  2. Step 2: Convert to fraction form
    278,263.68/417,026.40 = 151,578.96/x
  3. Step 3: Cross multiply
    278,263.68x = 417,026.40 × 151,578.96
  4. Step 4: Simplify right side
    278,263.68x = 63,212,428,004.54
  5. Step 5: Solve for x
    x = 63,212,428,004.54/278,263.68
  6. Step 6: Final answer
    x = 227,167.37

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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.