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Finding the Fourth Proportional to 656,431.02, 905,874.09 and 354,625.02

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Solution

The fourth proportional to 656,431.02, 905,874.09 and 354,625.02 is: 489,382.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,431.02 : 905,874.09 = 354,625.02 : x
  2. Step 2: Convert to fraction form
    656,431.02/905,874.09 = 354,625.02/x
  3. Step 3: Cross multiply
    656,431.02x = 905,874.09 × 354,625.02
  4. Step 4: Simplify right side
    656,431.02x = 321,245,617,283.73
  5. Step 5: Solve for x
    x = 321,245,617,283.73/656,431.02
  6. Step 6: Final answer
    x = 489,382.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.