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Finding the Fourth Proportional to 343,423.36, 515,132.48 and 106,765.60

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Solution

The fourth proportional to 343,423.36, 515,132.48 and 106,765.60 is: 160,147.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,423.36 : 515,132.48 = 106,765.60 : x
  2. Step 2: Convert to fraction form
    343,423.36/515,132.48 = 106,765.60/x
  3. Step 3: Cross multiply
    343,423.36x = 515,132.48 × 106,765.60
  4. Step 4: Simplify right side
    343,423.36x = 54,998,428,306.69
  5. Step 5: Solve for x
    x = 54,998,428,306.69/343,423.36
  6. Step 6: Final answer
    x = 160,147.60

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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.