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Finding the Fourth Proportional to 338,356.85, 507,485.14 and 205,201.35

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Solution

The fourth proportional to 338,356.85, 507,485.14 and 205,201.35 is: 307,771.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,356.85 : 507,485.14 = 205,201.35 : x
  2. Step 2: Convert to fraction form
    338,356.85/507,485.14 = 205,201.35/x
  3. Step 3: Cross multiply
    338,356.85x = 507,485.14 × 205,201.35
  4. Step 4: Simplify right side
    338,356.85x = 104,136,635,832.94
  5. Step 5: Solve for x
    x = 104,136,635,832.94/338,356.85
  6. Step 6: Final answer
    x = 307,771.62

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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.