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Finding the Fourth Proportional to 399,875.12, 600,108 and 189,513.68

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Solution

The fourth proportional to 399,875.12, 600,108 and 189,513.68 is: 284,410.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,875.12 : 600,108 = 189,513.68 : x
  2. Step 2: Convert to fraction form
    399,875.12/600,108 = 189,513.68/x
  3. Step 3: Cross multiply
    399,875.12x = 600,108 × 189,513.68
  4. Step 4: Simplify right side
    399,875.12x = 113,728,675,477.44
  5. Step 5: Solve for x
    x = 113,728,675,477.44/399,875.12
  6. Step 6: Final answer
    x = 284,410.48

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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.