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Finding the Fourth Proportional to 386,779.93, 533,747.86 and 214,687.78

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Solution

The fourth proportional to 386,779.93, 533,747.86 and 214,687.78 is: 296,264.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,779.93 : 533,747.86 = 214,687.78 : x
  2. Step 2: Convert to fraction form
    386,779.93/533,747.86 = 214,687.78/x
  3. Step 3: Cross multiply
    386,779.93x = 533,747.86 × 214,687.78
  4. Step 4: Simplify right side
    386,779.93x = 114,589,143,143.15
  5. Step 5: Solve for x
    x = 114,589,143,143.15/386,779.93
  6. Step 6: Final answer
    x = 296,264.45

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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.