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Finding the Fourth Proportional to 279,459.76, 419,251.49 and 101,966.25

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Solution

The fourth proportional to 279,459.76, 419,251.49 and 101,966.25 is: 152,971.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,459.76 : 419,251.49 = 101,966.25 : x
  2. Step 2: Convert to fraction form
    279,459.76/419,251.49 = 101,966.25/x
  3. Step 3: Cross multiply
    279,459.76x = 419,251.49 × 101,966.25
  4. Step 4: Simplify right side
    279,459.76x = 42,749,502,242.21
  5. Step 5: Solve for x
    x = 42,749,502,242.21/279,459.76
  6. Step 6: Final answer
    x = 152,971.94

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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.