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Finding the Fourth Proportional to 656,344, 905,755.20 and 354,538

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Solution

The fourth proportional to 656,344, 905,755.20 and 354,538 is: 489,262.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,344 : 905,755.20 = 354,538 : x
  2. Step 2: Convert to fraction form
    656,344/905,755.20 = 354,538/x
  3. Step 3: Cross multiply
    656,344x = 905,755.20 × 354,538
  4. Step 4: Simplify right side
    656,344x = 321,124,637,097.60
  5. Step 5: Solve for x
    x = 321,124,637,097.60/656,344
  6. Step 6: Final answer
    x = 489,262.70

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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.