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Finding the Fourth Proportional to 721,847.09, 996,255.79 and 415,865.30

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Solution

The fourth proportional to 721,847.09, 996,255.79 and 415,865.30 is: 573,955.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,847.09 : 996,255.79 = 415,865.30 : x
  2. Step 2: Convert to fraction form
    721,847.09/996,255.79 = 415,865.30/x
  3. Step 3: Cross multiply
    721,847.09x = 996,255.79 × 415,865.30
  4. Step 4: Simplify right side
    721,847.09x = 414,308,206,964.15
  5. Step 5: Solve for x
    x = 414,308,206,964.15/721,847.09
  6. Step 6: Final answer
    x = 573,955.64

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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.