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Finding the Fourth Proportional to 278,893.85, 384,876.50 and 151,569.50

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Solution

The fourth proportional to 278,893.85, 384,876.50 and 151,569.50 is: 209,167.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,893.85 : 384,876.50 = 151,569.50 : x
  2. Step 2: Convert to fraction form
    278,893.85/384,876.50 = 151,569.50/x
  3. Step 3: Cross multiply
    278,893.85x = 384,876.50 × 151,569.50
  4. Step 4: Simplify right side
    278,893.85x = 58,335,535,984.52
  5. Step 5: Solve for x
    x = 58,335,535,984.52/278,893.85
  6. Step 6: Final answer
    x = 209,167.53

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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.