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Finding the Fourth Proportional to 407,145.30, 611,301.15 and 229,998.30

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Solution

The fourth proportional to 407,145.30, 611,301.15 and 229,998.30 is: 345,326.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,145.30 : 611,301.15 = 229,998.30 : x
  2. Step 2: Convert to fraction form
    407,145.30/611,301.15 = 229,998.30/x
  3. Step 3: Cross multiply
    407,145.30x = 611,301.15 × 229,998.30
  4. Step 4: Simplify right side
    407,145.30x = 140,598,225,288.05
  5. Step 5: Solve for x
    x = 140,598,225,288.05/407,145.30
  6. Step 6: Final answer
    x = 345,326.90

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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.