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Finding the Fourth Proportional to 470,229.64, 649,115.44 and 317,474.64

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Solution

The fourth proportional to 470,229.64, 649,115.44 and 317,474.64 is: 438,249.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,229.64 : 649,115.44 = 317,474.64 : x
  2. Step 2: Convert to fraction form
    470,229.64/649,115.44 = 317,474.64/x
  3. Step 3: Cross multiply
    470,229.64x = 649,115.44 × 317,474.64
  4. Step 4: Simplify right side
    470,229.64x = 206,077,689,838.76
  5. Step 5: Solve for x
    x = 206,077,689,838.76/470,229.64
  6. Step 6: Final answer
    x = 438,249.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.