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Finding the Fourth Proportional to 401,304.50, 601,949.78 and 135,065.02

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Solution

The fourth proportional to 401,304.50, 601,949.78 and 135,065.02 is: 202,595.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,304.50 : 601,949.78 = 135,065.02 : x
  2. Step 2: Convert to fraction form
    401,304.50/601,949.78 = 135,065.02/x
  3. Step 3: Cross multiply
    401,304.50x = 601,949.78 × 135,065.02
  4. Step 4: Simplify right side
    401,304.50x = 81,302,359,074.70
  5. Step 5: Solve for x
    x = 81,302,359,074.70/401,304.50
  6. Step 6: Final answer
    x = 202,595.18

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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.