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Finding the Fourth Proportional to 287,936.20, 431,904.30 and 280,160.20

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Solution

The fourth proportional to 287,936.20, 431,904.30 and 280,160.20 is: 420,240.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,936.20 : 431,904.30 = 280,160.20 : x
  2. Step 2: Convert to fraction form
    287,936.20/431,904.30 = 280,160.20/x
  3. Step 3: Cross multiply
    287,936.20x = 431,904.30 × 280,160.20
  4. Step 4: Simplify right side
    287,936.20x = 121,002,395,068.86
  5. Step 5: Solve for x
    x = 121,002,395,068.86/287,936.20
  6. Step 6: Final answer
    x = 420,240.30

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1.5x scale

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.