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Finding the Fourth Proportional to 209,744.43, 314,495.15 and 143,264.90

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Solution

The fourth proportional to 209,744.43, 314,495.15 and 143,264.90 is: 214,814.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,744.43 : 314,495.15 = 143,264.90 : x
  2. Step 2: Convert to fraction form
    209,744.43/314,495.15 = 143,264.90/x
  3. Step 3: Cross multiply
    209,744.43x = 314,495.15 × 143,264.90
  4. Step 4: Simplify right side
    209,744.43x = 45,056,113,926.43
  5. Step 5: Solve for x
    x = 45,056,113,926.43/209,744.43
  6. Step 6: Final answer
    x = 214,814.35

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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.