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Finding the Fourth Proportional to 342,993, 514,489.80 and 143,204.48

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Solution

The fourth proportional to 342,993, 514,489.80 and 143,204.48 is: 214,806.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,993 : 514,489.80 = 143,204.48 : x
  2. Step 2: Convert to fraction form
    342,993/514,489.80 = 143,204.48/x
  3. Step 3: Cross multiply
    342,993x = 514,489.80 × 143,204.48
  4. Step 4: Simplify right side
    342,993x = 73,677,241,701.86
  5. Step 5: Solve for x
    x = 73,677,241,701.86/342,993
  6. Step 6: Final answer
    x = 214,806.84

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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.