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Finding the Fourth Proportional to 343,615.30, 514,896.87 and 143,826.91

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Solution

The fourth proportional to 343,615.30, 514,896.87 and 143,826.91 is: 215,520.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,615.30 : 514,896.87 = 143,826.91 : x
  2. Step 2: Convert to fraction form
    343,615.30/514,896.87 = 143,826.91/x
  3. Step 3: Cross multiply
    343,615.30x = 514,896.87 × 143,826.91
  4. Step 4: Simplify right side
    343,615.30x = 74,056,025,780.77
  5. Step 5: Solve for x
    x = 74,056,025,780.77/343,615.30
  6. Step 6: Final answer
    x = 215,520.16

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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.