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Finding the Fourth Proportional to 279,907.52, 419,817.99 and 102,373.01

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Solution

The fourth proportional to 279,907.52, 419,817.99 and 102,373.01 is: 153,543.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,907.52 : 419,817.99 = 102,373.01 : x
  2. Step 2: Convert to fraction form
    279,907.52/419,817.99 = 102,373.01/x
  3. Step 3: Cross multiply
    279,907.52x = 419,817.99 × 102,373.01
  4. Step 4: Simplify right side
    279,907.52x = 42,978,031,288.45
  5. Step 5: Solve for x
    x = 42,978,031,288.45/279,907.52
  6. Step 6: Final answer
    x = 153,543.68

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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.