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Finding the Fourth Proportional to 554,149.16, 829,724.56 and 287,348.82

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Solution

The fourth proportional to 554,149.16, 829,724.56 and 287,348.82 is: 430,245.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,149.16 : 829,724.56 = 287,348.82 : x
  2. Step 2: Convert to fraction form
    554,149.16/829,724.56 = 287,348.82/x
  3. Step 3: Cross multiply
    554,149.16x = 829,724.56 × 287,348.82
  4. Step 4: Simplify right side
    554,149.16x = 238,420,372,522.65
  5. Step 5: Solve for x
    x = 238,420,372,522.65/554,149.16
  6. Step 6: Final answer
    x = 430,245.84

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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.