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Finding the Fourth Proportional to 470,220.60, 649,103.01 and 317,465.64

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Solution

The fourth proportional to 470,220.60, 649,103.01 and 317,465.64 is: 438,236.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,220.60 : 649,103.01 = 317,465.64 : x
  2. Step 2: Convert to fraction form
    470,220.60/649,103.01 = 317,465.64/x
  3. Step 3: Cross multiply
    470,220.60x = 649,103.01 × 317,465.64
  4. Step 4: Simplify right side
    470,220.60x = 206,067,901,305.08
  5. Step 5: Solve for x
    x = 206,067,901,305.08/470,220.60
  6. Step 6: Final answer
    x = 438,236.65

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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.