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Finding the Fourth Proportional to 427,239.72, 640,706.40 and 127,664.52

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Solution

The fourth proportional to 427,239.72, 640,706.40 and 127,664.52 is: 191,451.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,239.72 : 640,706.40 = 127,664.52 : x
  2. Step 2: Convert to fraction form
    427,239.72/640,706.40 = 127,664.52/x
  3. Step 3: Cross multiply
    427,239.72x = 640,706.40 × 127,664.52
  4. Step 4: Simplify right side
    427,239.72x = 81,795,475,016.93
  5. Step 5: Solve for x
    x = 81,795,475,016.93/427,239.72
  6. Step 6: Final answer
    x = 191,451.01

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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.