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Finding the Fourth Proportional to 535,212.20, 802,137.90 and 219,312.20

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Solution

The fourth proportional to 535,212.20, 802,137.90 and 219,312.20 is: 328,689.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,212.20 : 802,137.90 = 219,312.20 : x
  2. Step 2: Convert to fraction form
    535,212.20/802,137.90 = 219,312.20/x
  3. Step 3: Cross multiply
    535,212.20x = 802,137.90 × 219,312.20
  4. Step 4: Simplify right side
    535,212.20x = 175,918,627,552.38
  5. Step 5: Solve for x
    x = 175,918,627,552.38/535,212.20
  6. Step 6: Final answer
    x = 328,689.49

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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.