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Finding the Fourth Proportional to 284,243.85, 426,332.70 and 73,898.19

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Solution

The fourth proportional to 284,243.85, 426,332.70 and 73,898.19 is: 110,838.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,243.85 : 426,332.70 = 73,898.19 : x
  2. Step 2: Convert to fraction form
    284,243.85/426,332.70 = 73,898.19/x
  3. Step 3: Cross multiply
    284,243.85x = 426,332.70 × 73,898.19
  4. Step 4: Simplify right side
    284,243.85x = 31,505,214,867.81
  5. Step 5: Solve for x
    x = 31,505,214,867.81/284,243.85
  6. Step 6: Final answer
    x = 110,838.69

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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.