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Finding the Fourth Proportional to 338,410.28, 507,616.56 and 85,690.65

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Solution

The fourth proportional to 338,410.28, 507,616.56 and 85,690.65 is: 128,536.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,410.28 : 507,616.56 = 85,690.65 : x
  2. Step 2: Convert to fraction form
    338,410.28/507,616.56 = 85,690.65/x
  3. Step 3: Cross multiply
    338,410.28x = 507,616.56 × 85,690.65
  4. Step 4: Simplify right side
    338,410.28x = 43,497,992,025.38
  5. Step 5: Solve for x
    x = 43,497,992,025.38/338,410.28
  6. Step 6: Final answer
    x = 128,536.26

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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.