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Finding the Fourth Proportional to 456,614.80, 684,926.82 and 203,908.16

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Solution

The fourth proportional to 456,614.80, 684,926.82 and 203,908.16 is: 305,864.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,614.80 : 684,926.82 = 203,908.16 : x
  2. Step 2: Convert to fraction form
    456,614.80/684,926.82 = 203,908.16/x
  3. Step 3: Cross multiply
    456,614.80x = 684,926.82 × 203,908.16
  4. Step 4: Simplify right side
    456,614.80x = 139,662,167,600.85
  5. Step 5: Solve for x
    x = 139,662,167,600.85/456,614.80
  6. Step 6: Final answer
    x = 305,864.30

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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.