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Finding the Fourth Proportional to 407,119.80, 611,262.90 and 229,972.80

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Solution

The fourth proportional to 407,119.80, 611,262.90 and 229,972.80 is: 345,288.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,119.80 : 611,262.90 = 229,972.80 : x
  2. Step 2: Convert to fraction form
    407,119.80/611,262.90 = 229,972.80/x
  3. Step 3: Cross multiply
    407,119.80x = 611,262.90 × 229,972.80
  4. Step 4: Simplify right side
    407,119.80x = 140,573,840,649.12
  5. Step 5: Solve for x
    x = 140,573,840,649.12/407,119.80
  6. Step 6: Final answer
    x = 345,288.64

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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.