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Finding the Fourth Proportional to 284,637, 426,906.02 and 107,145.38

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Solution

The fourth proportional to 284,637, 426,906.02 and 107,145.38 is: 160,699.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,637 : 426,906.02 = 107,145.38 : x
  2. Step 2: Convert to fraction form
    284,637/426,906.02 = 107,145.38/x
  3. Step 3: Cross multiply
    284,637x = 426,906.02 × 107,145.38
  4. Step 4: Simplify right side
    284,637x = 45,741,007,737.19
  5. Step 5: Solve for x
    x = 45,741,007,737.19/284,637
  6. Step 6: Final answer
    x = 160,699.44

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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.