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Finding the Fourth Proportional to 505,042.62, 756,586.98 and 423,015.74

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Solution

The fourth proportional to 505,042.62, 756,586.98 and 423,015.74 is: 633,705.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,042.62 : 756,586.98 = 423,015.74 : x
  2. Step 2: Convert to fraction form
    505,042.62/756,586.98 = 423,015.74/x
  3. Step 3: Cross multiply
    505,042.62x = 756,586.98 × 423,015.74
  4. Step 4: Simplify right side
    505,042.62x = 320,048,201,859.64
  5. Step 5: Solve for x
    x = 320,048,201,859.64/505,042.62
  6. Step 6: Final answer
    x = 633,705.34

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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.