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Finding the Fourth Proportional to 550,993.20, 760,274.55 and 309,285.96

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Solution

The fourth proportional to 550,993.20, 760,274.55 and 309,285.96 is: 426,760.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,993.20 : 760,274.55 = 309,285.96 : x
  2. Step 2: Convert to fraction form
    550,993.20/760,274.55 = 309,285.96/x
  3. Step 3: Cross multiply
    550,993.20x = 760,274.55 × 309,285.96
  4. Step 4: Simplify right side
    550,993.20x = 235,142,244,060.32
  5. Step 5: Solve for x
    x = 235,142,244,060.32/550,993.20
  6. Step 6: Final answer
    x = 426,760.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.