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Finding the Fourth Proportional to 427,237.68, 640,984.98 and 127,728

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Solution

The fourth proportional to 427,237.68, 640,984.98 and 127,728 is: 191,630.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,237.68 : 640,984.98 = 127,728 : x
  2. Step 2: Convert to fraction form
    427,237.68/640,984.98 = 127,728/x
  3. Step 3: Cross multiply
    427,237.68x = 640,984.98 × 127,728
  4. Step 4: Simplify right side
    427,237.68x = 81,871,729,525.44
  5. Step 5: Solve for x
    x = 81,871,729,525.44/427,237.68
  6. Step 6: Final answer
    x = 191,630.40

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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.