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Finding the Fourth Proportional to 278,010, 417,018.65 and 91,021.50

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Solution

The fourth proportional to 278,010, 417,018.65 and 91,021.50 is: 136,533.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,010 : 417,018.65 = 91,021.50 : x
  2. Step 2: Convert to fraction form
    278,010/417,018.65 = 91,021.50/x
  3. Step 3: Cross multiply
    278,010x = 417,018.65 × 91,021.50
  4. Step 4: Simplify right side
    278,010x = 37,957,662,595.87
  5. Step 5: Solve for x
    x = 37,957,662,595.87/278,010
  6. Step 6: Final answer
    x = 136,533.44

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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.