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Finding the Fourth Proportional to 278,480.96, 384,293.92 and 151,153.76

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Solution

The fourth proportional to 278,480.96, 384,293.92 and 151,153.76 is: 208,586.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,480.96 : 384,293.92 = 151,153.76 : x
  2. Step 2: Convert to fraction form
    278,480.96/384,293.92 = 151,153.76/x
  3. Step 3: Cross multiply
    278,480.96x = 384,293.92 × 151,153.76
  4. Step 4: Simplify right side
    278,480.96x = 58,087,470,953.14
  5. Step 5: Solve for x
    x = 58,087,470,953.14/278,480.96
  6. Step 6: Final answer
    x = 208,586.87

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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.