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Finding the Fourth Proportional to 302,686.94, 417,710.80 and 166,721.38

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Solution

The fourth proportional to 302,686.94, 417,710.80 and 166,721.38 is: 230,077.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,686.94 : 417,710.80 = 166,721.38 : x
  2. Step 2: Convert to fraction form
    302,686.94/417,710.80 = 166,721.38/x
  3. Step 3: Cross multiply
    302,686.94x = 417,710.80 × 166,721.38
  4. Step 4: Simplify right side
    302,686.94x = 69,641,321,016.90
  5. Step 5: Solve for x
    x = 69,641,321,016.90/302,686.94
  6. Step 6: Final answer
    x = 230,077.06

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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.