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Finding the Fourth Proportional to 401,484.60, 602,227.98 and 135,432

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Solution

The fourth proportional to 401,484.60, 602,227.98 and 135,432 is: 203,148.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,484.60 : 602,227.98 = 135,432 : x
  2. Step 2: Convert to fraction form
    401,484.60/602,227.98 = 135,432/x
  3. Step 3: Cross multiply
    401,484.60x = 602,227.98 × 135,432
  4. Step 4: Simplify right side
    401,484.60x = 81,560,939,787.36
  5. Step 5: Solve for x
    x = 81,560,939,787.36/401,484.60
  6. Step 6: Final answer
    x = 203,148.36

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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.