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Finding the Fourth Proportional to 343,586.34, 515,412.32 and 106,865.46

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Solution

The fourth proportional to 343,586.34, 515,412.32 and 106,865.46 is: 160,308.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,586.34 : 515,412.32 = 106,865.46 : x
  2. Step 2: Convert to fraction form
    343,586.34/515,412.32 = 106,865.46/x
  3. Step 3: Cross multiply
    343,586.34x = 515,412.32 × 106,865.46
  4. Step 4: Simplify right side
    343,586.34x = 55,079,774,132.14
  5. Step 5: Solve for x
    x = 55,079,774,132.14/343,586.34
  6. Step 6: Final answer
    x = 160,308.39

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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.