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Finding the Fourth Proportional to 346,429.80, 519,255.90 and 146,716.20

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Solution

The fourth proportional to 346,429.80, 519,255.90 and 146,716.20 is: 219,909.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,429.80 : 519,255.90 = 146,716.20 : x
  2. Step 2: Convert to fraction form
    346,429.80/519,255.90 = 146,716.20/x
  3. Step 3: Cross multiply
    346,429.80x = 519,255.90 × 146,716.20
  4. Step 4: Simplify right side
    346,429.80x = 76,183,252,475.58
  5. Step 5: Solve for x
    x = 76,183,252,475.58/346,429.80
  6. Step 6: Final answer
    x = 219,909.64

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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.