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Finding the Fourth Proportional to 313,544, 470,394.12 and 91,928

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Solution

The fourth proportional to 313,544, 470,394.12 and 91,928 is: 137,914.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,544 : 470,394.12 = 91,928 : x
  2. Step 2: Convert to fraction form
    313,544/470,394.12 = 91,928/x
  3. Step 3: Cross multiply
    313,544x = 470,394.12 × 91,928
  4. Step 4: Simplify right side
    313,544x = 43,242,390,663.36
  5. Step 5: Solve for x
    x = 43,242,390,663.36/313,544
  6. Step 6: Final answer
    x = 137,914.90

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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.