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Finding the Fourth Proportional to 380,820.80, 571,231.20 and 319,995.20

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Solution

The fourth proportional to 380,820.80, 571,231.20 and 319,995.20 is: 479,992.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,820.80 : 571,231.20 = 319,995.20 : x
  2. Step 2: Convert to fraction form
    380,820.80/571,231.20 = 319,995.20/x
  3. Step 3: Cross multiply
    380,820.80x = 571,231.20 × 319,995.20
  4. Step 4: Simplify right side
    380,820.80x = 182,791,242,090.24
  5. Step 5: Solve for x
    x = 182,791,242,090.24/380,820.80
  6. Step 6: Final answer
    x = 479,992.80

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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.