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Finding the Fourth Proportional to 449,784.34, 620,642.28 and 288,857.32

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Solution

The fourth proportional to 449,784.34, 620,642.28 and 288,857.32 is: 398,584.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,784.34 : 620,642.28 = 288,857.32 : x
  2. Step 2: Convert to fraction form
    449,784.34/620,642.28 = 288,857.32/x
  3. Step 3: Cross multiply
    449,784.34x = 620,642.28 × 288,857.32
  4. Step 4: Simplify right side
    449,784.34x = 179,277,065,679.49
  5. Step 5: Solve for x
    x = 179,277,065,679.49/449,784.34
  6. Step 6: Final answer
    x = 398,584.50

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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.