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Finding the Fourth Proportional to 353,861.60, 530,014.80 and 213,375.20

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Solution

The fourth proportional to 353,861.60, 530,014.80 and 213,375.20 is: 319,593.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,861.60 : 530,014.80 = 213,375.20 : x
  2. Step 2: Convert to fraction form
    353,861.60/530,014.80 = 213,375.20/x
  3. Step 3: Cross multiply
    353,861.60x = 530,014.80 × 213,375.20
  4. Step 4: Simplify right side
    353,861.60x = 113,092,013,952.96
  5. Step 5: Solve for x
    x = 113,092,013,952.96/353,861.60
  6. Step 6: Final answer
    x = 319,593.91

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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.