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Finding the Fourth Proportional to 401,481.60, 602,223.48 and 135,429

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Solution

The fourth proportional to 401,481.60, 602,223.48 and 135,429 is: 203,143.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,481.60 : 602,223.48 = 135,429 : x
  2. Step 2: Convert to fraction form
    401,481.60/602,223.48 = 135,429/x
  3. Step 3: Cross multiply
    401,481.60x = 602,223.48 × 135,429
  4. Step 4: Simplify right side
    401,481.60x = 81,558,523,672.92
  5. Step 5: Solve for x
    x = 81,558,523,672.92/401,481.60
  6. Step 6: Final answer
    x = 203,143.86

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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.