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Finding the Fourth Proportional to 312,008.85, 467,637.30 and 143,296.38

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Solution

The fourth proportional to 312,008.85, 467,637.30 and 143,296.38 is: 214,771.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,008.85 : 467,637.30 = 143,296.38 : x
  2. Step 2: Convert to fraction form
    312,008.85/467,637.30 = 143,296.38/x
  3. Step 3: Cross multiply
    312,008.85x = 467,637.30 × 143,296.38
  4. Step 4: Simplify right side
    312,008.85x = 67,010,732,242.97
  5. Step 5: Solve for x
    x = 67,010,732,242.97/312,008.85
  6. Step 6: Final answer
    x = 214,771.90

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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.