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Finding the Fourth Proportional to 343,615.23, 514,896.78 and 143,826.84

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Solution

The fourth proportional to 343,615.23, 514,896.78 and 143,826.84 is: 215,520.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,615.23 : 514,896.78 = 143,826.84 : x
  2. Step 2: Convert to fraction form
    343,615.23/514,896.78 = 143,826.84/x
  3. Step 3: Cross multiply
    343,615.23x = 514,896.78 × 143,826.84
  4. Step 4: Simplify right side
    343,615.23x = 74,055,977,332.93
  5. Step 5: Solve for x
    x = 74,055,977,332.93/343,615.23
  6. Step 6: Final answer
    x = 215,520.07

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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.