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Finding the Fourth Proportional to 278,307.92, 416,870.28 and 188,405.36

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Solution

The fourth proportional to 278,307.92, 416,870.28 and 188,405.36 is: 282,207.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,307.92 : 416,870.28 = 188,405.36 : x
  2. Step 2: Convert to fraction form
    278,307.92/416,870.28 = 188,405.36/x
  3. Step 3: Cross multiply
    278,307.92x = 416,870.28 × 188,405.36
  4. Step 4: Simplify right side
    278,307.92x = 78,540,595,176.70
  5. Step 5: Solve for x
    x = 78,540,595,176.70/278,307.92
  6. Step 6: Final answer
    x = 282,207.55

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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.