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Finding the Fourth Proportional to 475,354.96, 656,288.12 and 305,883.60

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Solution

The fourth proportional to 475,354.96, 656,288.12 and 305,883.60 is: 422,311.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,354.96 : 656,288.12 = 305,883.60 : x
  2. Step 2: Convert to fraction form
    475,354.96/656,288.12 = 305,883.60/x
  3. Step 3: Cross multiply
    475,354.96x = 656,288.12 × 305,883.60
  4. Step 4: Simplify right side
    475,354.96x = 200,747,772,782.83
  5. Step 5: Solve for x
    x = 200,747,772,782.83/475,354.96
  6. Step 6: Final answer
    x = 422,311.30

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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.