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Finding the Fourth Proportional to 422,648.81, 583,315.17 and 261,555.74

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Solution

The fourth proportional to 422,648.81, 583,315.17 and 261,555.74 is: 360,983.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,648.81 : 583,315.17 = 261,555.74 : x
  2. Step 2: Convert to fraction form
    422,648.81/583,315.17 = 261,555.74/x
  3. Step 3: Cross multiply
    422,648.81x = 583,315.17 × 261,555.74
  4. Step 4: Simplify right side
    422,648.81x = 152,569,429,634.80
  5. Step 5: Solve for x
    x = 152,569,429,634.80/422,648.81
  6. Step 6: Final answer
    x = 360,983.93

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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.