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Finding the Fourth Proportional to 460,649.42, 635,357.83 and 305,319.80

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Solution

The fourth proportional to 460,649.42, 635,357.83 and 305,319.80 is: 421,117.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,649.42 : 635,357.83 = 305,319.80 : x
  2. Step 2: Convert to fraction form
    460,649.42/635,357.83 = 305,319.80/x
  3. Step 3: Cross multiply
    460,649.42x = 635,357.83 × 305,319.80
  4. Step 4: Simplify right side
    460,649.42x = 193,987,325,584.03
  5. Step 5: Solve for x
    x = 193,987,325,584.03/460,649.42
  6. Step 6: Final answer
    x = 421,117.05

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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.