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Finding the Fourth Proportional to 427,012.74, 640,592.82 and 174,430.44

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Solution

The fourth proportional to 427,012.74, 640,592.82 and 174,430.44 is: 261,675.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,012.74 : 640,592.82 = 174,430.44 : x
  2. Step 2: Convert to fraction form
    427,012.74/640,592.82 = 174,430.44/x
  3. Step 3: Cross multiply
    427,012.74x = 640,592.82 × 174,430.44
  4. Step 4: Simplify right side
    427,012.74x = 111,738,887,453.44
  5. Step 5: Solve for x
    x = 111,738,887,453.44/427,012.74
  6. Step 6: Final answer
    x = 261,675.77

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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.