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Finding the Fourth Proportional to 470,230.64, 649,116.82 and 317,475.64

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Solution

The fourth proportional to 470,230.64, 649,116.82 and 317,475.64 is: 438,250.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,230.64 : 649,116.82 = 317,475.64 : x
  2. Step 2: Convert to fraction form
    470,230.64/649,116.82 = 317,475.64/x
  3. Step 3: Cross multiply
    470,230.64x = 649,116.82 × 317,475.64
  4. Step 4: Simplify right side
    470,230.64x = 206,078,777,864.27
  5. Step 5: Solve for x
    x = 206,078,777,864.27/470,230.64
  6. Step 6: Final answer
    x = 438,250.43

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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.