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Finding the Fourth Proportional to 302,205, 417,042.90 and 168,069

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Solution

The fourth proportional to 302,205, 417,042.90 and 168,069 is: 231,935.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,205 : 417,042.90 = 168,069 : x
  2. Step 2: Convert to fraction form
    302,205/417,042.90 = 168,069/x
  3. Step 3: Cross multiply
    302,205x = 417,042.90 × 168,069
  4. Step 4: Simplify right side
    302,205x = 70,091,983,160.10
  5. Step 5: Solve for x
    x = 70,091,983,160.10/302,205
  6. Step 6: Final answer
    x = 231,935.22

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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.