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Finding the Fourth Proportional to 342,834.40, 514,251.60 and 143,153.20

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Solution

The fourth proportional to 342,834.40, 514,251.60 and 143,153.20 is: 214,729.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,834.40 : 514,251.60 = 143,153.20 : x
  2. Step 2: Convert to fraction form
    342,834.40/514,251.60 = 143,153.20/x
  3. Step 3: Cross multiply
    342,834.40x = 514,251.60 × 143,153.20
  4. Step 4: Simplify right side
    342,834.40x = 73,616,762,145.12
  5. Step 5: Solve for x
    x = 73,616,762,145.12/342,834.40
  6. Step 6: Final answer
    x = 214,729.80

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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.