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Finding the Fourth Proportional to 312,814.80, 469,223.16 and 76,157.52

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Solution

The fourth proportional to 312,814.80, 469,223.16 and 76,157.52 is: 114,236.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,814.80 : 469,223.16 = 76,157.52 : x
  2. Step 2: Convert to fraction form
    312,814.80/469,223.16 = 76,157.52/x
  3. Step 3: Cross multiply
    312,814.80x = 469,223.16 × 76,157.52
  4. Step 4: Simplify right side
    312,814.80x = 35,734,872,192.16
  5. Step 5: Solve for x
    x = 35,734,872,192.16/312,814.80
  6. Step 6: Final answer
    x = 114,236.51

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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.