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Finding the Fourth Proportional to 656,352, 905,766.24 and 354,546

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Solution

The fourth proportional to 656,352, 905,766.24 and 354,546 is: 489,273.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,352 : 905,766.24 = 354,546 : x
  2. Step 2: Convert to fraction form
    656,352/905,766.24 = 354,546/x
  3. Step 3: Cross multiply
    656,352x = 905,766.24 × 354,546
  4. Step 4: Simplify right side
    656,352x = 321,135,797,327.04
  5. Step 5: Solve for x
    x = 321,135,797,327.04/656,352
  6. Step 6: Final answer
    x = 489,273.74

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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.