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Finding the Fourth Proportional to 401,468.60, 602,202.90 and 135,140.60

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Solution

The fourth proportional to 401,468.60, 602,202.90 and 135,140.60 is: 202,710.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,468.60 : 602,202.90 = 135,140.60 : x
  2. Step 2: Convert to fraction form
    401,468.60/602,202.90 = 135,140.60/x
  3. Step 3: Cross multiply
    401,468.60x = 602,202.90 × 135,140.60
  4. Step 4: Simplify right side
    401,468.60x = 81,382,061,227.74
  5. Step 5: Solve for x
    x = 81,382,061,227.74/401,468.60
  6. Step 6: Final answer
    x = 202,710.90

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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.