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Finding the Fourth Proportional to 287,907.20, 431,860.80 and 280,131.20

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Solution

The fourth proportional to 287,907.20, 431,860.80 and 280,131.20 is: 420,196.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,907.20 : 431,860.80 = 280,131.20 : x
  2. Step 2: Convert to fraction form
    287,907.20/431,860.80 = 280,131.20/x
  3. Step 3: Cross multiply
    287,907.20x = 431,860.80 × 280,131.20
  4. Step 4: Simplify right side
    287,907.20x = 120,977,684,136.96
  5. Step 5: Solve for x
    x = 120,977,684,136.96/287,907.20
  6. Step 6: Final answer
    x = 420,196.80

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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.