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Finding the Fourth Proportional to 543,028.18, 814,214.91 and 243,454.58

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Solution

The fourth proportional to 543,028.18, 814,214.91 and 243,454.58 is: 365,035.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,028.18 : 814,214.91 = 243,454.58 : x
  2. Step 2: Convert to fraction form
    543,028.18/814,214.91 = 243,454.58/x
  3. Step 3: Cross multiply
    543,028.18x = 814,214.91 × 243,454.58
  4. Step 4: Simplify right side
    543,028.18x = 198,224,348,943.79
  5. Step 5: Solve for x
    x = 198,224,348,943.79/543,028.18
  6. Step 6: Final answer
    x = 365,035.11

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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.