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Finding the Fourth Proportional to 343,885.20, 515,827.80 and 202,167.60

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Solution

The fourth proportional to 343,885.20, 515,827.80 and 202,167.60 is: 303,251.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,885.20 : 515,827.80 = 202,167.60 : x
  2. Step 2: Convert to fraction form
    343,885.20/515,827.80 = 202,167.60/x
  3. Step 3: Cross multiply
    343,885.20x = 515,827.80 × 202,167.60
  4. Step 4: Simplify right side
    343,885.20x = 104,283,668,339.28
  5. Step 5: Solve for x
    x = 104,283,668,339.28/343,885.20
  6. Step 6: Final answer
    x = 303,251.40

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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.