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Finding the Fourth Proportional to 428,314.48, 642,019.62 and 143,735.22

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Solution

The fourth proportional to 428,314.48, 642,019.62 and 143,735.22 is: 215,451.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,314.48 : 642,019.62 = 143,735.22 : x
  2. Step 2: Convert to fraction form
    428,314.48/642,019.62 = 143,735.22/x
  3. Step 3: Cross multiply
    428,314.48x = 642,019.62 × 143,735.22
  4. Step 4: Simplify right side
    428,314.48x = 92,280,831,325.02
  5. Step 5: Solve for x
    x = 92,280,831,325.02/428,314.48
  6. Step 6: Final answer
    x = 215,451.11

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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.