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Finding the Fourth Proportional to 399,825.72, 600,035.58 and 189,464.40

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Solution

The fourth proportional to 399,825.72, 600,035.58 and 189,464.40 is: 284,337.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,825.72 : 600,035.58 = 189,464.40 : x
  2. Step 2: Convert to fraction form
    399,825.72/600,035.58 = 189,464.40/x
  3. Step 3: Cross multiply
    399,825.72x = 600,035.58 × 189,464.40
  4. Step 4: Simplify right side
    399,825.72x = 113,685,381,143.35
  5. Step 5: Solve for x
    x = 113,685,381,143.35/399,825.72
  6. Step 6: Final answer
    x = 284,337.34

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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.