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Finding the Fourth Proportional to 401,025.60, 601,538.40 and 134,697.60

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Solution

The fourth proportional to 401,025.60, 601,538.40 and 134,697.60 is: 202,046.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,025.60 : 601,538.40 = 134,697.60 : x
  2. Step 2: Convert to fraction form
    401,025.60/601,538.40 = 134,697.60/x
  3. Step 3: Cross multiply
    401,025.60x = 601,538.40 × 134,697.60
  4. Step 4: Simplify right side
    401,025.60x = 81,025,778,787.84
  5. Step 5: Solve for x
    x = 81,025,778,787.84/401,025.60
  6. Step 6: Final answer
    x = 202,046.40

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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.