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Finding the Fourth Proportional to 279,561.78, 419,009.76 and 160,987.50

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Solution

The fourth proportional to 279,561.78, 419,009.76 and 160,987.50 is: 241,289.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,561.78 : 419,009.76 = 160,987.50 : x
  2. Step 2: Convert to fraction form
    279,561.78/419,009.76 = 160,987.50/x
  3. Step 3: Cross multiply
    279,561.78x = 419,009.76 × 160,987.50
  4. Step 4: Simplify right side
    279,561.78x = 67,455,333,738
  5. Step 5: Solve for x
    x = 67,455,333,738/279,561.78
  6. Step 6: Final answer
    x = 241,289.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.