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Finding the Fourth Proportional to 284,007.69, 426,099.93 and 84,329.10

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Solution

The fourth proportional to 284,007.69, 426,099.93 and 84,329.10 is: 126,519.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,007.69 : 426,099.93 = 84,329.10 : x
  2. Step 2: Convert to fraction form
    284,007.69/426,099.93 = 84,329.10/x
  3. Step 3: Cross multiply
    284,007.69x = 426,099.93 × 84,329.10
  4. Step 4: Simplify right side
    284,007.69x = 35,932,623,606.96
  5. Step 5: Solve for x
    x = 35,932,623,606.96/284,007.69
  6. Step 6: Final answer
    x = 126,519.90

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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.