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Finding the Fourth Proportional to 257,894.82, 386,339 and 168,878.45

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Solution

The fourth proportional to 257,894.82, 386,339 and 168,878.45 is: 252,988.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,894.82 : 386,339 = 168,878.45 : x
  2. Step 2: Convert to fraction form
    257,894.82/386,339 = 168,878.45/x
  3. Step 3: Cross multiply
    257,894.82x = 386,339 × 168,878.45
  4. Step 4: Simplify right side
    257,894.82x = 65,244,331,494.55
  5. Step 5: Solve for x
    x = 65,244,331,494.55/257,894.82
  6. Step 6: Final answer
    x = 252,988.14

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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.