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Finding the Fourth Proportional to 278,389.05, 384,177.95 and 151,064.64

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Solution

The fourth proportional to 278,389.05, 384,177.95 and 151,064.64 is: 208,469.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,389.05 : 384,177.95 = 151,064.64 : x
  2. Step 2: Convert to fraction form
    278,389.05/384,177.95 = 151,064.64/x
  3. Step 3: Cross multiply
    278,389.05x = 384,177.95 × 151,064.64
  4. Step 4: Simplify right side
    278,389.05x = 58,035,703,712.69
  5. Step 5: Solve for x
    x = 58,035,703,712.69/278,389.05
  6. Step 6: Final answer
    x = 208,469.78

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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.