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Finding the Fourth Proportional to 346,115.28, 519,169.46 and 109,458

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Solution

The fourth proportional to 346,115.28, 519,169.46 and 109,458 is: 164,185.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,115.28 : 519,169.46 = 109,458 : x
  2. Step 2: Convert to fraction form
    346,115.28/519,169.46 = 109,458/x
  3. Step 3: Cross multiply
    346,115.28x = 519,169.46 × 109,458
  4. Step 4: Simplify right side
    346,115.28x = 56,827,250,752.68
  5. Step 5: Solve for x
    x = 56,827,250,752.68/346,115.28
  6. Step 6: Final answer
    x = 164,185.91

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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.