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Finding the Fourth Proportional to 613,308.24, 920,067.44 and 208,457.62

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Solution

The fourth proportional to 613,308.24, 920,067.44 and 208,457.62 is: 312,722.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,308.24 : 920,067.44 = 208,457.62 : x
  2. Step 2: Convert to fraction form
    613,308.24/920,067.44 = 208,457.62/x
  3. Step 3: Cross multiply
    613,308.24x = 920,067.44 × 208,457.62
  4. Step 4: Simplify right side
    613,308.24x = 191,795,065,439.44
  5. Step 5: Solve for x
    x = 191,795,065,439.44/613,308.24
  6. Step 6: Final answer
    x = 312,722.14

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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.