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Finding the Fourth Proportional to 321,907.88, 482,745.17 and 144,323.48

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Solution

The fourth proportional to 321,907.88, 482,745.17 and 144,323.48 is: 216,432.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,907.88 : 482,745.17 = 144,323.48 : x
  2. Step 2: Convert to fraction form
    321,907.88/482,745.17 = 144,323.48/x
  3. Step 3: Cross multiply
    321,907.88x = 482,745.17 × 144,323.48
  4. Step 4: Simplify right side
    321,907.88x = 69,671,459,752.25
  5. Step 5: Solve for x
    x = 69,671,459,752.25/321,907.88
  6. Step 6: Final answer
    x = 216,432.92

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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.