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Finding the Fourth Proportional to 314,749.70, 470,972.55 and 231,805.70

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Solution

The fourth proportional to 314,749.70, 470,972.55 and 231,805.70 is: 346,860.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,749.70 : 470,972.55 = 231,805.70 : x
  2. Step 2: Convert to fraction form
    314,749.70/470,972.55 = 231,805.70/x
  3. Step 3: Cross multiply
    314,749.70x = 470,972.55 × 231,805.70
  4. Step 4: Simplify right side
    314,749.70x = 109,174,121,633.54
  5. Step 5: Solve for x
    x = 109,174,121,633.54/314,749.70
  6. Step 6: Final answer
    x = 346,860.13

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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.