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Finding the Fourth Proportional to 266,878.31, 368,288.78 and 146,017.86

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Solution

The fourth proportional to 266,878.31, 368,288.78 and 146,017.86 is: 201,502.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,878.31 : 368,288.78 = 146,017.86 : x
  2. Step 2: Convert to fraction form
    266,878.31/368,288.78 = 146,017.86/x
  3. Step 3: Cross multiply
    266,878.31x = 368,288.78 × 146,017.86
  4. Step 4: Simplify right side
    266,878.31x = 53,776,739,517.61
  5. Step 5: Solve for x
    x = 53,776,739,517.61/266,878.31
  6. Step 6: Final answer
    x = 201,502.85

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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.