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Finding the Fourth Proportional to 342,768.85, 514,201.12 and 143,043.47

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Solution

The fourth proportional to 342,768.85, 514,201.12 and 143,043.47 is: 214,585.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,768.85 : 514,201.12 = 143,043.47 : x
  2. Step 2: Convert to fraction form
    342,768.85/514,201.12 = 143,043.47/x
  3. Step 3: Cross multiply
    342,768.85x = 514,201.12 × 143,043.47
  4. Step 4: Simplify right side
    342,768.85x = 73,553,109,554.07
  5. Step 5: Solve for x
    x = 73,553,109,554.07/342,768.85
  6. Step 6: Final answer
    x = 214,585.16

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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.