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Finding the Fourth Proportional to 430,997.90, 645,840.72 and 206,049.15

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Solution

The fourth proportional to 430,997.90, 645,840.72 and 206,049.15 is: 308,760.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,997.90 : 645,840.72 = 206,049.15 : x
  2. Step 2: Convert to fraction form
    430,997.90/645,840.72 = 206,049.15/x
  3. Step 3: Cross multiply
    430,997.90x = 645,840.72 × 206,049.15
  4. Step 4: Simplify right side
    430,997.90x = 133,074,931,391.39
  5. Step 5: Solve for x
    x = 133,074,931,391.39/430,997.90
  6. Step 6: Final answer
    x = 308,760.05

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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.