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Finding the Fourth Proportional to 315,165.42, 434,934.45 and 171,930.78

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Solution

The fourth proportional to 315,165.42, 434,934.45 and 171,930.78 is: 237,267.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,165.42 : 434,934.45 = 171,930.78 : x
  2. Step 2: Convert to fraction form
    315,165.42/434,934.45 = 171,930.78/x
  3. Step 3: Cross multiply
    315,165.42x = 434,934.45 × 171,930.78
  4. Step 4: Simplify right side
    315,165.42x = 74,778,619,237.37
  5. Step 5: Solve for x
    x = 74,778,619,237.37/315,165.42
  6. Step 6: Final answer
    x = 237,267.84

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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.