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Finding the Fourth Proportional to 302,314.78, 417,194.79 and 168,178.78

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Solution

The fourth proportional to 302,314.78, 417,194.79 and 168,178.78 is: 232,086.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,314.78 : 417,194.79 = 168,178.78 : x
  2. Step 2: Convert to fraction form
    302,314.78/417,194.79 = 168,178.78/x
  3. Step 3: Cross multiply
    302,314.78x = 417,194.79 × 168,178.78
  4. Step 4: Simplify right side
    302,314.78x = 70,163,310,804.56
  5. Step 5: Solve for x
    x = 70,163,310,804.56/302,314.78
  6. Step 6: Final answer
    x = 232,086.94

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1.5x scale

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.