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Finding the Fourth Proportional to 285,129, 393,478.02 and 165,897

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Solution

The fourth proportional to 285,129, 393,478.02 and 165,897 is: 228,937.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,129 : 393,478.02 = 165,897 : x
  2. Step 2: Convert to fraction form
    285,129/393,478.02 = 165,897/x
  3. Step 3: Cross multiply
    285,129x = 393,478.02 × 165,897
  4. Step 4: Simplify right side
    285,129x = 65,276,823,083.94
  5. Step 5: Solve for x
    x = 65,276,823,083.94/285,129
  6. Step 6: Final answer
    x = 228,937.86

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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.