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Finding the Fourth Proportional to 278,953.75, 418,406.88 and 110,428.25

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Solution

The fourth proportional to 278,953.75, 418,406.88 and 110,428.25 is: 165,632.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,953.75 : 418,406.88 = 110,428.25 : x
  2. Step 2: Convert to fraction form
    278,953.75/418,406.88 = 110,428.25/x
  3. Step 3: Cross multiply
    278,953.75x = 418,406.88 × 110,428.25
  4. Step 4: Simplify right side
    278,953.75x = 46,203,939,546.36
  5. Step 5: Solve for x
    x = 46,203,939,546.36/278,953.75
  6. Step 6: Final answer
    x = 165,632.98

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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.