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Finding the Fourth Proportional to 242,830.78, 364,246.18 and 130,563.88

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Solution

The fourth proportional to 242,830.78, 364,246.18 and 130,563.88 is: 195,845.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,830.78 : 364,246.18 = 130,563.88 : x
  2. Step 2: Convert to fraction form
    242,830.78/364,246.18 = 130,563.88/x
  3. Step 3: Cross multiply
    242,830.78x = 364,246.18 × 130,563.88
  4. Step 4: Simplify right side
    242,830.78x = 47,557,394,535.98
  5. Step 5: Solve for x
    x = 47,557,394,535.98/242,830.78
  6. Step 6: Final answer
    x = 195,845.83

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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.