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Finding the Fourth Proportional to 346,766.40, 520,149.60 and 213,796.80

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Solution

The fourth proportional to 346,766.40, 520,149.60 and 213,796.80 is: 320,695.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,766.40 : 520,149.60 = 213,796.80 : x
  2. Step 2: Convert to fraction form
    346,766.40/520,149.60 = 213,796.80/x
  3. Step 3: Cross multiply
    346,766.40x = 520,149.60 × 213,796.80
  4. Step 4: Simplify right side
    346,766.40x = 111,206,320,001.28
  5. Step 5: Solve for x
    x = 111,206,320,001.28/346,766.40
  6. Step 6: Final answer
    x = 320,695.20

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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.