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Finding the Fourth Proportional to 285,158, 393,504.60 and 156,093.92

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Solution

The fourth proportional to 285,158, 393,504.60 and 156,093.92 is: 215,402.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,158 : 393,504.60 = 156,093.92 : x
  2. Step 2: Convert to fraction form
    285,158/393,504.60 = 156,093.92/x
  3. Step 3: Cross multiply
    285,158x = 393,504.60 × 156,093.92
  4. Step 4: Simplify right side
    285,158x = 61,423,675,552.03
  5. Step 5: Solve for x
    x = 61,423,675,552.03/285,158
  6. Step 6: Final answer
    x = 215,402.25

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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.