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Finding the Fourth Proportional to 349,346.60, 522,810.30 and 209,205.80

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Solution

The fourth proportional to 349,346.60, 522,810.30 and 209,205.80 is: 313,084.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,346.60 : 522,810.30 = 209,205.80 : x
  2. Step 2: Convert to fraction form
    349,346.60/522,810.30 = 209,205.80/x
  3. Step 3: Cross multiply
    349,346.60x = 522,810.30 × 209,205.80
  4. Step 4: Simplify right side
    349,346.60x = 109,374,947,059.74
  5. Step 5: Solve for x
    x = 109,374,947,059.74/349,346.60
  6. Step 6: Final answer
    x = 313,084.33

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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.