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Finding the Fourth Proportional to 313,269.64, 469,900.38 and 76,614.36

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Solution

The fourth proportional to 313,269.64, 469,900.38 and 76,614.36 is: 114,920.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,269.64 : 469,900.38 = 76,614.36 : x
  2. Step 2: Convert to fraction form
    313,269.64/469,900.38 = 76,614.36/x
  3. Step 3: Cross multiply
    313,269.64x = 469,900.38 × 76,614.36
  4. Step 4: Simplify right side
    313,269.64x = 36,001,116,877.46
  5. Step 5: Solve for x
    x = 36,001,116,877.46/313,269.64
  6. Step 6: Final answer
    x = 114,920.54

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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.