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Finding the Fourth Proportional to 342,860.84, 514,372.80 and 143,070.20

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Solution

The fourth proportional to 342,860.84, 514,372.80 and 143,070.20 is: 214,639.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,860.84 : 514,372.80 = 143,070.20 : x
  2. Step 2: Convert to fraction form
    342,860.84/514,372.80 = 143,070.20/x
  3. Step 3: Cross multiply
    342,860.84x = 514,372.80 × 143,070.20
  4. Step 4: Simplify right side
    342,860.84x = 73,591,419,370.56
  5. Step 5: Solve for x
    x = 73,591,419,370.56/342,860.84
  6. Step 6: Final answer
    x = 214,639.33

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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.