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Finding the Fourth Proportional to 542,114.70, 812,588.85 and 205,025.10

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Solution

The fourth proportional to 542,114.70, 812,588.85 and 205,025.10 is: 307,317.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,114.70 : 812,588.85 = 205,025.10 : x
  2. Step 2: Convert to fraction form
    542,114.70/812,588.85 = 205,025.10/x
  3. Step 3: Cross multiply
    542,114.70x = 812,588.85 × 205,025.10
  4. Step 4: Simplify right side
    542,114.70x = 166,601,110,230.14
  5. Step 5: Solve for x
    x = 166,601,110,230.14/542,114.70
  6. Step 6: Final answer
    x = 307,317.09

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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.