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Finding the Fourth Proportional to 541,874.70, 812,820.24 and 205,074

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Solution

The fourth proportional to 541,874.70, 812,820.24 and 205,074 is: 307,614.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,874.70 : 812,820.24 = 205,074 : x
  2. Step 2: Convert to fraction form
    541,874.70/812,820.24 = 205,074/x
  3. Step 3: Cross multiply
    541,874.70x = 812,820.24 × 205,074
  4. Step 4: Simplify right side
    541,874.70x = 166,688,297,897.76
  5. Step 5: Solve for x
    x = 166,688,297,897.76/541,874.70
  6. Step 6: Final answer
    x = 307,614.10

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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.