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Finding the Fourth Proportional to 321,428.50, 482,210.19 and 121,744.47

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Solution

The fourth proportional to 321,428.50, 482,210.19 and 121,744.47 is: 182,642.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,428.50 : 482,210.19 = 121,744.47 : x
  2. Step 2: Convert to fraction form
    321,428.50/482,210.19 = 121,744.47/x
  3. Step 3: Cross multiply
    321,428.50x = 482,210.19 × 121,744.47
  4. Step 4: Simplify right side
    321,428.50x = 58,706,422,763.60
  5. Step 5: Solve for x
    x = 58,706,422,763.60/321,428.50
  6. Step 6: Final answer
    x = 182,642.24

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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.