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Finding the Fourth Proportional to 300,901.53, 415,286.66 and 186,217.13

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Solution

The fourth proportional to 300,901.53, 415,286.66 and 186,217.13 is: 257,005.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,901.53 : 415,286.66 = 186,217.13 : x
  2. Step 2: Convert to fraction form
    300,901.53/415,286.66 = 186,217.13/x
  3. Step 3: Cross multiply
    300,901.53x = 415,286.66 × 186,217.13
  4. Step 4: Simplify right side
    300,901.53x = 77,333,490,408.77
  5. Step 5: Solve for x
    x = 77,333,490,408.77/300,901.53
  6. Step 6: Final answer
    x = 257,005.97

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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.