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Finding the Fourth Proportional to 407,115.30, 611,256.15 and 229,968.30

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Solution

The fourth proportional to 407,115.30, 611,256.15 and 229,968.30 is: 345,281.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,115.30 : 611,256.15 = 229,968.30 : x
  2. Step 2: Convert to fraction form
    407,115.30/611,256.15 = 229,968.30/x
  3. Step 3: Cross multiply
    407,115.30x = 611,256.15 × 229,968.30
  4. Step 4: Simplify right side
    407,115.30x = 140,569,537,680.05
  5. Step 5: Solve for x
    x = 140,569,537,680.05/407,115.30
  6. Step 6: Final answer
    x = 345,281.88

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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.