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Finding the Fourth Proportional to 313,645.56, 470,468.34 and 76,986.24

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Solution

The fourth proportional to 313,645.56, 470,468.34 and 76,986.24 is: 115,479.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,645.56 : 470,468.34 = 76,986.24 : x
  2. Step 2: Convert to fraction form
    313,645.56/470,468.34 = 76,986.24/x
  3. Step 3: Cross multiply
    313,645.56x = 470,468.34 × 76,986.24
  4. Step 4: Simplify right side
    313,645.56x = 36,219,588,535.64
  5. Step 5: Solve for x
    x = 36,219,588,535.64/313,645.56
  6. Step 6: Final answer
    x = 115,479.36

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1.5x scale

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.