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Finding the Fourth Proportional to 331,351.40, 496,443.90 and 284,695.40

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Solution

The fourth proportional to 331,351.40, 496,443.90 and 284,695.40 is: 426,542.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,351.40 : 496,443.90 = 284,695.40 : x
  2. Step 2: Convert to fraction form
    331,351.40/496,443.90 = 284,695.40/x
  3. Step 3: Cross multiply
    331,351.40x = 496,443.90 × 284,695.40
  4. Step 4: Simplify right side
    331,351.40x = 141,335,294,688.06
  5. Step 5: Solve for x
    x = 141,335,294,688.06/331,351.40
  6. Step 6: Final answer
    x = 426,542.02

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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.