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Finding the Fourth Proportional to 489,321.94, 734,049.62 and 284,252.94

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Solution

The fourth proportional to 489,321.94, 734,049.62 and 284,252.94 is: 426,418.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,321.94 : 734,049.62 = 284,252.94 : x
  2. Step 2: Convert to fraction form
    489,321.94/734,049.62 = 284,252.94/x
  3. Step 3: Cross multiply
    489,321.94x = 734,049.62 × 284,252.94
  4. Step 4: Simplify right side
    489,321.94x = 208,655,762,590.88
  5. Step 5: Solve for x
    x = 208,655,762,590.88/489,321.94
  6. Step 6: Final answer
    x = 426,418.16

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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.