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Finding the Fourth Proportional to 346,046.20, 519,142.20 and 109,412.80

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Solution

The fourth proportional to 346,046.20, 519,142.20 and 109,412.80 is: 164,142.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,046.20 : 519,142.20 = 109,412.80 : x
  2. Step 2: Convert to fraction form
    346,046.20/519,142.20 = 109,412.80/x
  3. Step 3: Cross multiply
    346,046.20x = 519,142.20 × 109,412.80
  4. Step 4: Simplify right side
    346,046.20x = 56,800,801,700.16
  5. Step 5: Solve for x
    x = 56,800,801,700.16/346,046.20
  6. Step 6: Final answer
    x = 164,142.25

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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.