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Finding the Fourth Proportional to 313,434.91, 470,149.13 and 76,778.83

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Solution

The fourth proportional to 313,434.91, 470,149.13 and 76,778.83 is: 115,167.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,434.91 : 470,149.13 = 76,778.83 : x
  2. Step 2: Convert to fraction form
    313,434.91/470,149.13 = 76,778.83/x
  3. Step 3: Cross multiply
    313,434.91x = 470,149.13 × 76,778.83
  4. Step 4: Simplify right side
    313,434.91x = 36,097,499,743.02
  5. Step 5: Solve for x
    x = 36,097,499,743.02/313,434.91
  6. Step 6: Final answer
    x = 115,167.45

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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.