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Finding the Fourth Proportional to 302,862.78, 417,953.45 and 166,901.60

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Solution

The fourth proportional to 302,862.78, 417,953.45 and 166,901.60 is: 230,325.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,862.78 : 417,953.45 = 166,901.60 : x
  2. Step 2: Convert to fraction form
    302,862.78/417,953.45 = 166,901.60/x
  3. Step 3: Cross multiply
    302,862.78x = 417,953.45 × 166,901.60
  4. Step 4: Simplify right side
    302,862.78x = 69,757,100,992.66
  5. Step 5: Solve for x
    x = 69,757,100,992.66/302,862.78
  6. Step 6: Final answer
    x = 230,325.76

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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.