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Finding the Fourth Proportional to 303,751.80, 418,900.14 and 231,998.52

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Solution

The fourth proportional to 303,751.80, 418,900.14 and 231,998.52 is: 319,946.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,751.80 : 418,900.14 = 231,998.52 : x
  2. Step 2: Convert to fraction form
    303,751.80/418,900.14 = 231,998.52/x
  3. Step 3: Cross multiply
    303,751.80x = 418,900.14 × 231,998.52
  4. Step 4: Simplify right side
    303,751.80x = 97,184,212,507.79
  5. Step 5: Solve for x
    x = 97,184,212,507.79/303,751.80
  6. Step 6: Final answer
    x = 319,946.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.