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Finding the Fourth Proportional to 278,473.98, 384,294.40 and 151,149.54

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Solution

The fourth proportional to 278,473.98, 384,294.40 and 151,149.54 is: 208,586.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,473.98 : 384,294.40 = 151,149.54 : x
  2. Step 2: Convert to fraction form
    278,473.98/384,294.40 = 151,149.54/x
  3. Step 3: Cross multiply
    278,473.98x = 384,294.40 × 151,149.54
  4. Step 4: Simplify right side
    278,473.98x = 58,085,921,784.58
  5. Step 5: Solve for x
    x = 58,085,921,784.58/278,473.98
  6. Step 6: Final answer
    x = 208,586.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.