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Finding the Fourth Proportional to 302,738, 417,791.40 and 168,602

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Solution

The fourth proportional to 302,738, 417,791.40 and 168,602 is: 232,677.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,738 : 417,791.40 = 168,602 : x
  2. Step 2: Convert to fraction form
    302,738/417,791.40 = 168,602/x
  3. Step 3: Cross multiply
    302,738x = 417,791.40 × 168,602
  4. Step 4: Simplify right side
    302,738x = 70,440,465,622.80
  5. Step 5: Solve for x
    x = 70,440,465,622.80/302,738
  6. Step 6: Final answer
    x = 232,677.98

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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.