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Finding the Fourth Proportional to 426,240, 639,371.52 and 130,752

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Solution

The fourth proportional to 426,240, 639,371.52 and 130,752 is: 196,131.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,240 : 639,371.52 = 130,752 : x
  2. Step 2: Convert to fraction form
    426,240/639,371.52 = 130,752/x
  3. Step 3: Cross multiply
    426,240x = 639,371.52 × 130,752
  4. Step 4: Simplify right side
    426,240x = 83,599,104,983.04
  5. Step 5: Solve for x
    x = 83,599,104,983.04/426,240
  6. Step 6: Final answer
    x = 196,131.53

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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.