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Finding the Fourth Proportional to 535,100.70, 801,970.65 and 219,200.70

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Solution

The fourth proportional to 535,100.70, 801,970.65 and 219,200.70 is: 328,522.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,100.70 : 801,970.65 = 219,200.70 : x
  2. Step 2: Convert to fraction form
    535,100.70/801,970.65 = 219,200.70/x
  3. Step 3: Cross multiply
    535,100.70x = 801,970.65 × 219,200.70
  4. Step 4: Simplify right side
    535,100.70x = 175,792,527,859.46
  5. Step 5: Solve for x
    x = 175,792,527,859.46/535,100.70
  6. Step 6: Final answer
    x = 328,522.33

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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.