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Finding the Fourth Proportional to 346,067.20, 518,812.80 and 146,540.80

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Solution

The fourth proportional to 346,067.20, 518,812.80 and 146,540.80 is: 219,689.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,067.20 : 518,812.80 = 146,540.80 : x
  2. Step 2: Convert to fraction form
    346,067.20/518,812.80 = 146,540.80/x
  3. Step 3: Cross multiply
    346,067.20x = 518,812.80 × 146,540.80
  4. Step 4: Simplify right side
    346,067.20x = 76,027,242,762.24
  5. Step 5: Solve for x
    x = 76,027,242,762.24/346,067.20
  6. Step 6: Final answer
    x = 219,689.25

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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.