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Finding the Fourth Proportional to 278,071.24, 416,110.40 and 240,760.20

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Solution

The fourth proportional to 278,071.24, 416,110.40 and 240,760.20 is: 360,277.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,071.24 : 416,110.40 = 240,760.20 : x
  2. Step 2: Convert to fraction form
    278,071.24/416,110.40 = 240,760.20/x
  3. Step 3: Cross multiply
    278,071.24x = 416,110.40 × 240,760.20
  4. Step 4: Simplify right side
    278,071.24x = 100,182,823,126.08
  5. Step 5: Solve for x
    x = 100,182,823,126.08/278,071.24
  6. Step 6: Final answer
    x = 360,277.54

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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.