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Finding the Fourth Proportional to 485,676, 670,232.88 and 284,472

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Solution

The fourth proportional to 485,676, 670,232.88 and 284,472 is: 392,571.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,676 : 670,232.88 = 284,472 : x
  2. Step 2: Convert to fraction form
    485,676/670,232.88 = 284,472/x
  3. Step 3: Cross multiply
    485,676x = 670,232.88 × 284,472
  4. Step 4: Simplify right side
    485,676x = 190,662,487,839.36
  5. Step 5: Solve for x
    x = 190,662,487,839.36/485,676
  6. Step 6: Final answer
    x = 392,571.36

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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.