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Finding the Fourth Proportional to 278,000.80, 416,924.40 and 111,805.60

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Solution

The fourth proportional to 278,000.80, 416,924.40 and 111,805.60 is: 167,677.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,000.80 : 416,924.40 = 111,805.60 : x
  2. Step 2: Convert to fraction form
    278,000.80/416,924.40 = 111,805.60/x
  3. Step 3: Cross multiply
    278,000.80x = 416,924.40 × 111,805.60
  4. Step 4: Simplify right side
    278,000.80x = 46,614,482,696.64
  5. Step 5: Solve for x
    x = 46,614,482,696.64/278,000.80
  6. Step 6: Final answer
    x = 167,677.51

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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.