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Finding the Fourth Proportional to 449,584.34, 620,513.25 and 288,642.74

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Solution

The fourth proportional to 449,584.34, 620,513.25 and 288,642.74 is: 398,382.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,584.34 : 620,513.25 = 288,642.74 : x
  2. Step 2: Convert to fraction form
    449,584.34/620,513.25 = 288,642.74/x
  3. Step 3: Cross multiply
    449,584.34x = 620,513.25 × 288,642.74
  4. Step 4: Simplify right side
    449,584.34x = 179,106,644,686.31
  5. Step 5: Solve for x
    x = 179,106,644,686.31/449,584.34
  6. Step 6: Final answer
    x = 398,382.75

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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.