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Finding the Fourth Proportional to 302,999.31, 418,894.88 and 227,416.59

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Solution

The fourth proportional to 302,999.31, 418,894.88 and 227,416.59 is: 314,402.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,999.31 : 418,894.88 = 227,416.59 : x
  2. Step 2: Convert to fraction form
    302,999.31/418,894.88 = 227,416.59/x
  3. Step 3: Cross multiply
    302,999.31x = 418,894.88 × 227,416.59
  4. Step 4: Simplify right side
    302,999.31x = 95,263,644,040.98
  5. Step 5: Solve for x
    x = 95,263,644,040.98/302,999.31
  6. Step 6: Final answer
    x = 314,402.18

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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.