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Finding the Fourth Proportional to 276,911.26, 415,440.73 and 99,419.81

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Solution

The fourth proportional to 276,911.26, 415,440.73 and 99,419.81 is: 149,156.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,911.26 : 415,440.73 = 99,419.81 : x
  2. Step 2: Convert to fraction form
    276,911.26/415,440.73 = 99,419.81/x
  3. Step 3: Cross multiply
    276,911.26x = 415,440.73 × 99,419.81
  4. Step 4: Simplify right side
    276,911.26x = 41,303,036,117.11
  5. Step 5: Solve for x
    x = 41,303,036,117.11/276,911.26
  6. Step 6: Final answer
    x = 149,156.22

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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.