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Finding the Fourth Proportional to 554,178.97, 829,766.94 and 287,380.00

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Solution

The fourth proportional to 554,178.97, 829,766.94 and 287,380.00 is: 430,291.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,178.97 : 829,766.94 = 287,380.00 : x
  2. Step 2: Convert to fraction form
    554,178.97/829,766.94 = 287,380.00/x
  3. Step 3: Cross multiply
    554,178.97x = 829,766.94 × 287,380.00
  4. Step 4: Simplify right side
    554,178.97x = 238,458,423,176.73
  5. Step 5: Solve for x
    x = 238,458,423,176.73/554,178.97
  6. Step 6: Final answer
    x = 430,291.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.