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Finding the Fourth Proportional to 342,935.77, 514,403.71 and 143,147.17

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Solution

The fourth proportional to 342,935.77, 514,403.71 and 143,147.17 is: 214,720.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,935.77 : 514,403.71 = 143,147.17 : x
  2. Step 2: Convert to fraction form
    342,935.77/514,403.71 = 143,147.17/x
  3. Step 3: Cross multiply
    342,935.77x = 514,403.71 × 143,147.17
  4. Step 4: Simplify right side
    342,935.77x = 73,635,435,324.00
  5. Step 5: Solve for x
    x = 73,635,435,324.00/342,935.77
  6. Step 6: Final answer
    x = 214,720.78

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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.