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Finding the Fourth Proportional to 338,620.57, 507,925.69 and 82,455.54

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Solution

The fourth proportional to 338,620.57, 507,925.69 and 82,455.54 is: 123,682.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,620.57 : 507,925.69 = 82,455.54 : x
  2. Step 2: Convert to fraction form
    338,620.57/507,925.69 = 82,455.54/x
  3. Step 3: Cross multiply
    338,620.57x = 507,925.69 × 82,455.54
  4. Step 4: Simplify right side
    338,620.57x = 41,881,287,048.82
  5. Step 5: Solve for x
    x = 41,881,287,048.82/338,620.57
  6. Step 6: Final answer
    x = 123,682.05

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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.