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Finding the Fourth Proportional to 343,622.92, 515,434.38 and 106,989.52

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Solution

The fourth proportional to 343,622.92, 515,434.38 and 106,989.52 is: 160,484.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,622.92 : 515,434.38 = 106,989.52 : x
  2. Step 2: Convert to fraction form
    343,622.92/515,434.38 = 106,989.52/x
  3. Step 3: Cross multiply
    343,622.92x = 515,434.38 × 106,989.52
  4. Step 4: Simplify right side
    343,622.92x = 55,146,076,907.70
  5. Step 5: Solve for x
    x = 55,146,076,907.70/343,622.92
  6. Step 6: Final answer
    x = 160,484.28

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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.