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Finding the Fourth Proportional to 407,115.80, 611,256.90 and 229,968.80

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Solution

The fourth proportional to 407,115.80, 611,256.90 and 229,968.80 is: 345,282.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,115.80 : 611,256.90 = 229,968.80 : x
  2. Step 2: Convert to fraction form
    407,115.80/611,256.90 = 229,968.80/x
  3. Step 3: Cross multiply
    407,115.80x = 611,256.90 × 229,968.80
  4. Step 4: Simplify right side
    407,115.80x = 140,570,015,784.72
  5. Step 5: Solve for x
    x = 140,570,015,784.72/407,115.80
  6. Step 6: Final answer
    x = 345,282.63

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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.