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Finding the Fourth Proportional to 309,285.54, 463,140.77 and 203,784.66

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Solution

The fourth proportional to 309,285.54, 463,140.77 and 203,784.66 is: 305,158.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,285.54 : 463,140.77 = 203,784.66 : x
  2. Step 2: Convert to fraction form
    309,285.54/463,140.77 = 203,784.66/x
  3. Step 3: Cross multiply
    309,285.54x = 463,140.77 × 203,784.66
  4. Step 4: Simplify right side
    309,285.54x = 94,380,983,327.66
  5. Step 5: Solve for x
    x = 94,380,983,327.66/309,285.54
  6. Step 6: Final answer
    x = 305,158.09

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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.