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Finding the Fourth Proportional to 302,206, 417,044.28 and 168,070

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Solution

The fourth proportional to 302,206, 417,044.28 and 168,070 is: 231,936.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,206 : 417,044.28 = 168,070 : x
  2. Step 2: Convert to fraction form
    302,206/417,044.28 = 168,070/x
  3. Step 3: Cross multiply
    302,206x = 417,044.28 × 168,070
  4. Step 4: Simplify right side
    302,206x = 70,092,632,139.60
  5. Step 5: Solve for x
    x = 70,092,632,139.60/302,206
  6. Step 6: Final answer
    x = 231,936.60

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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.