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Finding the Fourth Proportional to 278,040.99, 417,057.59 and 109,562.78

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Solution

The fourth proportional to 278,040.99, 417,057.59 and 109,562.78 is: 164,342.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,040.99 : 417,057.59 = 109,562.78 : x
  2. Step 2: Convert to fraction form
    278,040.99/417,057.59 = 109,562.78/x
  3. Step 3: Cross multiply
    278,040.99x = 417,057.59 × 109,562.78
  4. Step 4: Simplify right side
    278,040.99x = 45,693,988,980.50
  5. Step 5: Solve for x
    x = 45,693,988,980.50/278,040.99
  6. Step 6: Final answer
    x = 164,342.64

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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.