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Finding the Fourth Proportional to 535,211.70, 802,137.15 and 219,311.70

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Solution

The fourth proportional to 535,211.70, 802,137.15 and 219,311.70 is: 328,688.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,211.70 : 802,137.15 = 219,311.70 : x
  2. Step 2: Convert to fraction form
    535,211.70/802,137.15 = 219,311.70/x
  3. Step 3: Cross multiply
    535,211.70x = 802,137.15 × 219,311.70
  4. Step 4: Simplify right side
    535,211.70x = 175,918,061,999.66
  5. Step 5: Solve for x
    x = 175,918,061,999.66/535,211.70
  6. Step 6: Final answer
    x = 328,688.75

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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.