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Finding the Fourth Proportional to 338,358.60, 507,487.77 and 205,203.11

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Solution

The fourth proportional to 338,358.60, 507,487.77 and 205,203.11 is: 307,774.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,358.60 : 507,487.77 = 205,203.11 : x
  2. Step 2: Convert to fraction form
    338,358.60/507,487.77 = 205,203.11/x
  3. Step 3: Cross multiply
    338,358.60x = 507,487.77 × 205,203.11
  4. Step 4: Simplify right side
    338,358.60x = 104,138,066,153.53
  5. Step 5: Solve for x
    x = 104,138,066,153.53/338,358.60
  6. Step 6: Final answer
    x = 307,774.26

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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.