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Finding the Fourth Proportional to 343,003.82, 514,505.93 and 143,215.29

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Solution

The fourth proportional to 343,003.82, 514,505.93 and 143,215.29 is: 214,823.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,003.82 : 514,505.93 = 143,215.29 : x
  2. Step 2: Convert to fraction form
    343,003.82/514,505.93 = 143,215.29/x
  3. Step 3: Cross multiply
    343,003.82x = 514,505.93 × 143,215.29
  4. Step 4: Simplify right side
    343,003.82x = 73,685,115,255.59
  5. Step 5: Solve for x
    x = 73,685,115,255.59/343,003.82
  6. Step 6: Final answer
    x = 214,823.02

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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.