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Finding the Fourth Proportional to 278,825.68, 384,778.68 and 151,501.72

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Solution

The fourth proportional to 278,825.68, 384,778.68 and 151,501.72 is: 209,071.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,825.68 : 384,778.68 = 151,501.72 : x
  2. Step 2: Convert to fraction form
    278,825.68/384,778.68 = 151,501.72/x
  3. Step 3: Cross multiply
    278,825.68x = 384,778.68 × 151,501.72
  4. Step 4: Simplify right side
    278,825.68x = 58,294,631,839.33
  5. Step 5: Solve for x
    x = 58,294,631,839.33/278,825.68
  6. Step 6: Final answer
    x = 209,071.96

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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.