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Finding the Fourth Proportional to 471,782.80, 707,213.40 and 422,016.40

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Solution

The fourth proportional to 471,782.80, 707,213.40 and 422,016.40 is: 632,612.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,782.80 : 707,213.40 = 422,016.40 : x
  2. Step 2: Convert to fraction form
    471,782.80/707,213.40 = 422,016.40/x
  3. Step 3: Cross multiply
    471,782.80x = 707,213.40 × 422,016.40
  4. Step 4: Simplify right side
    471,782.80x = 298,455,653,099.76
  5. Step 5: Solve for x
    x = 298,455,653,099.76/471,782.80
  6. Step 6: Final answer
    x = 632,612.41

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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.