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Finding the Fourth Proportional to 635,680.80, 952,646.40 and 421,840.80

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Solution

The fourth proportional to 635,680.80, 952,646.40 and 421,840.80 is: 632,180.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,680.80 : 952,646.40 = 421,840.80 : x
  2. Step 2: Convert to fraction form
    635,680.80/952,646.40 = 421,840.80/x
  3. Step 3: Cross multiply
    635,680.80x = 952,646.40 × 421,840.80
  4. Step 4: Simplify right side
    635,680.80x = 401,865,119,493.12
  5. Step 5: Solve for x
    x = 401,865,119,493.12/635,680.80
  6. Step 6: Final answer
    x = 632,180.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.