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Finding the Fourth Proportional to 287,727.32, 431,200.40 and 152,757.28

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Solution

The fourth proportional to 287,727.32, 431,200.40 and 152,757.28 is: 228,928.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,727.32 : 431,200.40 = 152,757.28 : x
  2. Step 2: Convert to fraction form
    287,727.32/431,200.40 = 152,757.28/x
  3. Step 3: Cross multiply
    287,727.32x = 431,200.40 × 152,757.28
  4. Step 4: Simplify right side
    287,727.32x = 65,869,000,238.91
  5. Step 5: Solve for x
    x = 65,869,000,238.91/287,727.32
  6. Step 6: Final answer
    x = 228,928.56

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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.