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Finding the Fourth Proportional to 278,460.70, 417,624.15 and 128,556.97

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Solution

The fourth proportional to 278,460.70, 417,624.15 and 128,556.97 is: 192,804.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,460.70 : 417,624.15 = 128,556.97 : x
  2. Step 2: Convert to fraction form
    278,460.70/417,624.15 = 128,556.97/x
  3. Step 3: Cross multiply
    278,460.70x = 417,624.15 × 128,556.97
  4. Step 4: Simplify right side
    278,460.70x = 53,688,497,109.99
  5. Step 5: Solve for x
    x = 53,688,497,109.99/278,460.70
  6. Step 6: Final answer
    x = 192,804.57

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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.