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Finding the Fourth Proportional to 405,297.26, 559,292.82 and 223,999.82

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Solution

The fourth proportional to 405,297.26, 559,292.82 and 223,999.82 is: 309,110.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,297.26 : 559,292.82 = 223,999.82 : x
  2. Step 2: Convert to fraction form
    405,297.26/559,292.82 = 223,999.82/x
  3. Step 3: Cross multiply
    405,297.26x = 559,292.82 × 223,999.82
  4. Step 4: Simplify right side
    405,297.26x = 125,281,491,007.29
  5. Step 5: Solve for x
    x = 125,281,491,007.29/405,297.26
  6. Step 6: Final answer
    x = 309,110.14

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1.5x scale

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.