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Finding the Fourth Proportional to 384,510.65, 576,847.74 and 131,723.28

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Solution

The fourth proportional to 384,510.65, 576,847.74 and 131,723.28 is: 197,612.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,510.65 : 576,847.74 = 131,723.28 : x
  2. Step 2: Convert to fraction form
    384,510.65/576,847.74 = 131,723.28/x
  3. Step 3: Cross multiply
    384,510.65x = 576,847.74 × 131,723.28
  4. Step 4: Simplify right side
    384,510.65x = 75,984,276,867.35
  5. Step 5: Solve for x
    x = 75,984,276,867.35/384,510.65
  6. Step 6: Final answer
    x = 197,612.93

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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.