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Finding the Fourth Proportional to 279,259.50, 419,151.68 and 146,235.22

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Solution

The fourth proportional to 279,259.50, 419,151.68 and 146,235.22 is: 219,490.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,259.50 : 419,151.68 = 146,235.22 : x
  2. Step 2: Convert to fraction form
    279,259.50/419,151.68 = 146,235.22/x
  3. Step 3: Cross multiply
    279,259.50x = 419,151.68 × 146,235.22
  4. Step 4: Simplify right side
    279,259.50x = 61,294,738,138.17
  5. Step 5: Solve for x
    x = 61,294,738,138.17/279,259.50
  6. Step 6: Final answer
    x = 219,490.25

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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.