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Finding the Fourth Proportional to 405,346.98, 559,301.85 and 254,375.94

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Solution

The fourth proportional to 405,346.98, 559,301.85 and 254,375.94 is: 350,990.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,346.98 : 559,301.85 = 254,375.94 : x
  2. Step 2: Convert to fraction form
    405,346.98/559,301.85 = 254,375.94/x
  3. Step 3: Cross multiply
    405,346.98x = 559,301.85 × 254,375.94
  4. Step 4: Simplify right side
    405,346.98x = 142,272,933,837.49
  5. Step 5: Solve for x
    x = 142,272,933,837.49/405,346.98
  6. Step 6: Final answer
    x = 350,990.49

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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.