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Finding the Fourth Proportional to 407,917.02, 611,783.22 and 155,107.30

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Solution

The fourth proportional to 407,917.02, 611,783.22 and 155,107.30 is: 232,625.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,917.02 : 611,783.22 = 155,107.30 : x
  2. Step 2: Convert to fraction form
    407,917.02/611,783.22 = 155,107.30/x
  3. Step 3: Cross multiply
    407,917.02x = 611,783.22 × 155,107.30
  4. Step 4: Simplify right side
    407,917.02x = 94,892,043,439.51
  5. Step 5: Solve for x
    x = 94,892,043,439.51/407,917.02
  6. Step 6: Final answer
    x = 232,625.85

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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.