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Finding the Fourth Proportional to 302,989.08, 418,106.13 and 167,016

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Solution

The fourth proportional to 302,989.08, 418,106.13 and 167,016 is: 230,471.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,989.08 : 418,106.13 = 167,016 : x
  2. Step 2: Convert to fraction form
    302,989.08/418,106.13 = 167,016/x
  3. Step 3: Cross multiply
    302,989.08x = 418,106.13 × 167,016
  4. Step 4: Simplify right side
    302,989.08x = 69,830,413,408.08
  5. Step 5: Solve for x
    x = 69,830,413,408.08/302,989.08
  6. Step 6: Final answer
    x = 230,471.72

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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.