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Finding the Fourth Proportional to 278,890, 419,852.47 and 254,089.42

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Solution

The fourth proportional to 278,890, 419,852.47 and 254,089.42 is: 382,516.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,890 : 419,852.47 = 254,089.42 : x
  2. Step 2: Convert to fraction form
    278,890/419,852.47 = 254,089.42/x
  3. Step 3: Cross multiply
    278,890x = 419,852.47 × 254,089.42
  4. Step 4: Simplify right side
    278,890x = 106,680,070,587.87
  5. Step 5: Solve for x
    x = 106,680,070,587.87/278,890
  6. Step 6: Final answer
    x = 382,516.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.