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Finding the Fourth Proportional to 287,747.20, 430,843.20 and 225,539.20

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Solution

The fourth proportional to 287,747.20, 430,843.20 and 225,539.20 is: 337,699.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,747.20 : 430,843.20 = 225,539.20 : x
  2. Step 2: Convert to fraction form
    287,747.20/430,843.20 = 225,539.20/x
  3. Step 3: Cross multiply
    287,747.20x = 430,843.20 × 225,539.20
  4. Step 4: Simplify right side
    287,747.20x = 97,172,030,653.44
  5. Step 5: Solve for x
    x = 97,172,030,653.44/287,747.20
  6. Step 6: Final answer
    x = 337,699.31

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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.