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Finding the Fourth Proportional to 422,643.40, 583,307.68 and 261,550.38

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Solution

The fourth proportional to 422,643.40, 583,307.68 and 261,550.38 is: 360,976.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,643.40 : 583,307.68 = 261,550.38 : x
  2. Step 2: Convert to fraction form
    422,643.40/583,307.68 = 261,550.38/x
  3. Step 3: Cross multiply
    422,643.40x = 583,307.68 × 261,550.38
  4. Step 4: Simplify right side
    422,643.40x = 152,564,345,360.92
  5. Step 5: Solve for x
    x = 152,564,345,360.92/422,643.40
  6. Step 6: Final answer
    x = 360,976.52

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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.