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Finding the Fourth Proportional to 401,354.52, 602,123.88 and 135,107.88

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Solution

The fourth proportional to 401,354.52, 602,123.88 and 135,107.88 is: 202,692.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,354.52 : 602,123.88 = 135,107.88 : x
  2. Step 2: Convert to fraction form
    401,354.52/602,123.88 = 135,107.88/x
  3. Step 3: Cross multiply
    401,354.52x = 602,123.88 × 135,107.88
  4. Step 4: Simplify right side
    401,354.52x = 81,351,680,924.17
  5. Step 5: Solve for x
    x = 81,351,680,924.17/401,354.52
  6. Step 6: Final answer
    x = 202,692.82

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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.