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Finding the Fourth Proportional to 301,079.49, 415,498.86 and 165,119.10

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Solution

The fourth proportional to 301,079.49, 415,498.86 and 165,119.10 is: 227,869.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,079.49 : 415,498.86 = 165,119.10 : x
  2. Step 2: Convert to fraction form
    301,079.49/415,498.86 = 165,119.10/x
  3. Step 3: Cross multiply
    301,079.49x = 415,498.86 × 165,119.10
  4. Step 4: Simplify right side
    301,079.49x = 68,606,797,814.23
  5. Step 5: Solve for x
    x = 68,606,797,814.23/301,079.49
  6. Step 6: Final answer
    x = 227,869.38

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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.