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Finding the Fourth Proportional to 313,920.67, 470,882.83 and 77,261.76

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Solution

The fourth proportional to 313,920.67, 470,882.83 and 77,261.76 is: 115,893.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,920.67 : 470,882.83 = 77,261.76 : x
  2. Step 2: Convert to fraction form
    313,920.67/470,882.83 = 77,261.76/x
  3. Step 3: Cross multiply
    313,920.67x = 470,882.83 × 77,261.76
  4. Step 4: Simplify right side
    313,920.67x = 36,381,236,199.58
  5. Step 5: Solve for x
    x = 36,381,236,199.58/313,920.67
  6. Step 6: Final answer
    x = 115,893.09

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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.