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Finding the Fourth Proportional to 343,615.36, 515,439.24 and 283,532.40

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Solution

The fourth proportional to 343,615.36, 515,439.24 and 283,532.40 is: 425,311.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,615.36 : 515,439.24 = 283,532.40 : x
  2. Step 2: Convert to fraction form
    343,615.36/515,439.24 = 283,532.40/x
  3. Step 3: Cross multiply
    343,615.36x = 515,439.24 × 283,532.40
  4. Step 4: Simplify right side
    343,615.36x = 146,143,722,194.18
  5. Step 5: Solve for x
    x = 146,143,722,194.18/343,615.36
  6. Step 6: Final answer
    x = 425,311.96

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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.