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Finding the Fourth Proportional to 287,905.20, 431,857.80 and 280,129.20

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Solution

The fourth proportional to 287,905.20, 431,857.80 and 280,129.20 is: 420,193.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,905.20 : 431,857.80 = 280,129.20 : x
  2. Step 2: Convert to fraction form
    287,905.20/431,857.80 = 280,129.20/x
  3. Step 3: Cross multiply
    287,905.20x = 431,857.80 × 280,129.20
  4. Step 4: Simplify right side
    287,905.20x = 120,975,980,027.76
  5. Step 5: Solve for x
    x = 120,975,980,027.76/287,905.20
  6. Step 6: Final answer
    x = 420,193.80

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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.