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Finding the Fourth Proportional to 440,441.40, 660,662.10 and 314,470.20

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Solution

The fourth proportional to 440,441.40, 660,662.10 and 314,470.20 is: 471,705.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,441.40 : 660,662.10 = 314,470.20 : x
  2. Step 2: Convert to fraction form
    440,441.40/660,662.10 = 314,470.20/x
  3. Step 3: Cross multiply
    440,441.40x = 660,662.10 × 314,470.20
  4. Step 4: Simplify right side
    440,441.40x = 207,758,542,719.42
  5. Step 5: Solve for x
    x = 207,758,542,719.42/440,441.40
  6. Step 6: Final answer
    x = 471,705.30

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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.