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Finding the Fourth Proportional to 422,104.69, 583,015.69 and 307,201.13

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Solution

The fourth proportional to 422,104.69, 583,015.69 and 307,201.13 is: 424,309.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,104.69 : 583,015.69 = 307,201.13 : x
  2. Step 2: Convert to fraction form
    422,104.69/583,015.69 = 307,201.13/x
  3. Step 3: Cross multiply
    422,104.69x = 583,015.69 × 307,201.13
  4. Step 4: Simplify right side
    422,104.69x = 179,103,078,775.73
  5. Step 5: Solve for x
    x = 179,103,078,775.73/422,104.69
  6. Step 6: Final answer
    x = 424,309.62

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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.