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Finding the Fourth Proportional to 386,420.42, 533,241.43 and 214,345.24

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Solution

The fourth proportional to 386,420.42, 533,241.43 and 214,345.24 is: 295,786.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,420.42 : 533,241.43 = 214,345.24 : x
  2. Step 2: Convert to fraction form
    386,420.42/533,241.43 = 214,345.24/x
  3. Step 3: Cross multiply
    386,420.42x = 533,241.43 × 214,345.24
  4. Step 4: Simplify right side
    386,420.42x = 114,297,760,422.33
  5. Step 5: Solve for x
    x = 114,297,760,422.33/386,420.42
  6. Step 6: Final answer
    x = 295,786.02

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1.5x scale

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.