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Finding the Fourth Proportional to 209,859.33, 314,673.57 and 143,374.53

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Solution

The fourth proportional to 209,859.33, 314,673.57 and 143,374.53 is: 214,982.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,859.33 : 314,673.57 = 143,374.53 : x
  2. Step 2: Convert to fraction form
    209,859.33/314,673.57 = 143,374.53/x
  3. Step 3: Cross multiply
    209,859.33x = 314,673.57 × 143,374.53
  4. Step 4: Simplify right side
    209,859.33x = 45,116,175,202.17
  5. Step 5: Solve for x
    x = 45,116,175,202.17/209,859.33
  6. Step 6: Final answer
    x = 214,982.94

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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.