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Finding the Fourth Proportional to 313,818.33, 470,723.40 and 77,163.06

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Solution

The fourth proportional to 313,818.33, 470,723.40 and 77,163.06 is: 115,743.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,818.33 : 470,723.40 = 77,163.06 : x
  2. Step 2: Convert to fraction form
    313,818.33/470,723.40 = 77,163.06/x
  3. Step 3: Cross multiply
    313,818.33x = 470,723.40 × 77,163.06
  4. Step 4: Simplify right side
    313,818.33x = 36,322,459,722.82
  5. Step 5: Solve for x
    x = 36,322,459,722.82/313,818.33
  6. Step 6: Final answer
    x = 115,743.59

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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.