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Finding the Fourth Proportional to 278,893.62, 384,873.03 and 151,569.24

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Solution

The fourth proportional to 278,893.62, 384,873.03 and 151,569.24 is: 209,165.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,893.62 : 384,873.03 = 151,569.24 : x
  2. Step 2: Convert to fraction form
    278,893.62/384,873.03 = 151,569.24/x
  3. Step 3: Cross multiply
    278,893.62x = 384,873.03 × 151,569.24
  4. Step 4: Simplify right side
    278,893.62x = 58,334,912,653.60
  5. Step 5: Solve for x
    x = 58,334,912,653.60/278,893.62
  6. Step 6: Final answer
    x = 209,165.46

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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.