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Finding the Fourth Proportional to 313,325.78, 470,066.40 and 91,709.78

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Solution

The fourth proportional to 313,325.78, 470,066.40 and 91,709.78 is: 137,587.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,325.78 : 470,066.40 = 91,709.78 : x
  2. Step 2: Convert to fraction form
    313,325.78/470,066.40 = 91,709.78/x
  3. Step 3: Cross multiply
    313,325.78x = 470,066.40 × 91,709.78
  4. Step 4: Simplify right side
    313,325.78x = 43,109,686,129.39
  5. Step 5: Solve for x
    x = 43,109,686,129.39/313,325.78
  6. Step 6: Final answer
    x = 137,587.42

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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.