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Finding the Fourth Proportional to 278,645.37, 417,913.63 and 89,054.88

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Solution

The fourth proportional to 278,645.37, 417,913.63 and 89,054.88 is: 133,564.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,645.37 : 417,913.63 = 89,054.88 : x
  2. Step 2: Convert to fraction form
    278,645.37/417,913.63 = 89,054.88/x
  3. Step 3: Cross multiply
    278,645.37x = 417,913.63 × 89,054.88
  4. Step 4: Simplify right side
    278,645.37x = 37,217,248,170.01
  5. Step 5: Solve for x
    x = 37,217,248,170.01/278,645.37
  6. Step 6: Final answer
    x = 133,564.93

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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.