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Finding the Fourth Proportional to 427,323.91, 640,749.25 and 174,781.77

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Solution

The fourth proportional to 427,323.91, 640,749.25 and 174,781.77 is: 262,075.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,323.91 : 640,749.25 = 174,781.77 : x
  2. Step 2: Convert to fraction form
    427,323.91/640,749.25 = 174,781.77/x
  3. Step 3: Cross multiply
    427,323.91x = 640,749.25 × 174,781.77
  4. Step 4: Simplify right side
    427,323.91x = 111,991,285,549.73
  5. Step 5: Solve for x
    x = 111,991,285,549.73/427,323.91
  6. Step 6: Final answer
    x = 262,075.87

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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.