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Finding the Fourth Proportional to 535,212.70, 802,138.65 and 219,312.70

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Solution

The fourth proportional to 535,212.70, 802,138.65 and 219,312.70 is: 328,690.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,212.70 : 802,138.65 = 219,312.70 : x
  2. Step 2: Convert to fraction form
    535,212.70/802,138.65 = 219,312.70/x
  3. Step 3: Cross multiply
    535,212.70x = 802,138.65 × 219,312.70
  4. Step 4: Simplify right side
    535,212.70x = 175,919,193,105.86
  5. Step 5: Solve for x
    x = 175,919,193,105.86/535,212.70
  6. Step 6: Final answer
    x = 328,690.24

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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.