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Finding the Fourth Proportional to 656,273.25, 905,657.70 and 354,467.25

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Solution

The fourth proportional to 656,273.25, 905,657.70 and 354,467.25 is: 489,165.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,273.25 : 905,657.70 = 354,467.25 : x
  2. Step 2: Convert to fraction form
    656,273.25/905,657.70 = 354,467.25/x
  3. Step 3: Cross multiply
    656,273.25x = 905,657.70 × 354,467.25
  4. Step 4: Simplify right side
    656,273.25x = 321,025,994,360.33
  5. Step 5: Solve for x
    x = 321,025,994,360.33/656,273.25
  6. Step 6: Final answer
    x = 489,165.14

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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.