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Finding the Fourth Proportional to 384,654.60, 576,923.52 and 135,278.28

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Solution

The fourth proportional to 384,654.60, 576,923.52 and 135,278.28 is: 202,896.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,654.60 : 576,923.52 = 135,278.28 : x
  2. Step 2: Convert to fraction form
    384,654.60/576,923.52 = 135,278.28/x
  3. Step 3: Cross multiply
    384,654.60x = 576,923.52 × 135,278.28
  4. Step 4: Simplify right side
    384,654.60x = 78,045,221,477.15
  5. Step 5: Solve for x
    x = 78,045,221,477.15/384,654.60
  6. Step 6: Final answer
    x = 202,896.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.