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Finding the Fourth Proportional to 403,820.80, 605,002.20 and 235,203.10

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Solution

The fourth proportional to 403,820.80, 605,002.20 and 235,203.10 is: 352,380.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,820.80 : 605,002.20 = 235,203.10 : x
  2. Step 2: Convert to fraction form
    403,820.80/605,002.20 = 235,203.10/x
  3. Step 3: Cross multiply
    403,820.80x = 605,002.20 × 235,203.10
  4. Step 4: Simplify right side
    403,820.80x = 142,298,392,946.82
  5. Step 5: Solve for x
    x = 142,298,392,946.82/403,820.80
  6. Step 6: Final answer
    x = 352,380.05

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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.