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Finding the Fourth Proportional to 278,987.70, 384,998.46 and 151,666.50

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Solution

The fourth proportional to 278,987.70, 384,998.46 and 151,666.50 is: 209,297.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,987.70 : 384,998.46 = 151,666.50 : x
  2. Step 2: Convert to fraction form
    278,987.70/384,998.46 = 151,666.50/x
  3. Step 3: Cross multiply
    278,987.70x = 384,998.46 × 151,666.50
  4. Step 4: Simplify right side
    278,987.70x = 58,391,368,933.59
  5. Step 5: Solve for x
    x = 58,391,368,933.59/278,987.70
  6. Step 6: Final answer
    x = 209,297.29

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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.