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Finding the Fourth Proportional to 427,898.70, 640,798.29 and 287,230.86

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Solution

The fourth proportional to 427,898.70, 640,798.29 and 287,230.86 is: 430,141.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,898.70 : 640,798.29 = 287,230.86 : x
  2. Step 2: Convert to fraction form
    427,898.70/640,798.29 = 287,230.86/x
  3. Step 3: Cross multiply
    427,898.70x = 640,798.29 × 287,230.86
  4. Step 4: Simplify right side
    427,898.70x = 184,057,043,923.23
  5. Step 5: Solve for x
    x = 184,057,043,923.23/427,898.70
  6. Step 6: Final answer
    x = 430,141.63

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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.