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Finding the Fourth Proportional to 212,809.20, 319,213.80 and 209,698.80

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Solution

The fourth proportional to 212,809.20, 319,213.80 and 209,698.80 is: 314,548.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,809.20 : 319,213.80 = 209,698.80 : x
  2. Step 2: Convert to fraction form
    212,809.20/319,213.80 = 209,698.80/x
  3. Step 3: Cross multiply
    212,809.20x = 319,213.80 × 209,698.80
  4. Step 4: Simplify right side
    212,809.20x = 66,938,750,803.44
  5. Step 5: Solve for x
    x = 66,938,750,803.44/212,809.20
  6. Step 6: Final answer
    x = 314,548.20

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1.5x scale

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.