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Finding the Fourth Proportional to 543,182.81, 814,680.25 and 143,829.32

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Solution

The fourth proportional to 543,182.81, 814,680.25 and 143,829.32 is: 215,719.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,182.81 : 814,680.25 = 143,829.32 : x
  2. Step 2: Convert to fraction form
    543,182.81/814,680.25 = 143,829.32/x
  3. Step 3: Cross multiply
    543,182.81x = 814,680.25 × 143,829.32
  4. Step 4: Simplify right side
    543,182.81x = 117,174,901,941.96
  5. Step 5: Solve for x
    x = 117,174,901,941.96/543,182.81
  6. Step 6: Final answer
    x = 215,719.09

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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.