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Finding the Fourth Proportional to 604,249.92, 905,940 and 284,222.88

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Solution

The fourth proportional to 604,249.92, 905,940 and 284,222.88 is: 426,129.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,249.92 : 905,940 = 284,222.88 : x
  2. Step 2: Convert to fraction form
    604,249.92/905,940 = 284,222.88/x
  3. Step 3: Cross multiply
    604,249.92x = 905,940 × 284,222.88
  4. Step 4: Simplify right side
    604,249.92x = 257,488,875,907.20
  5. Step 5: Solve for x
    x = 257,488,875,907.20/604,249.92
  6. Step 6: Final answer
    x = 426,129.76

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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.