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Finding the Fourth Proportional to 405,346.48, 559,301.16 and 254,375.44

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Solution

The fourth proportional to 405,346.48, 559,301.16 and 254,375.44 is: 350,989.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,346.48 : 559,301.16 = 254,375.44 : x
  2. Step 2: Convert to fraction form
    405,346.48/559,301.16 = 254,375.44/x
  3. Step 3: Cross multiply
    405,346.48x = 559,301.16 × 254,375.44
  4. Step 4: Simplify right side
    405,346.48x = 142,272,478,667.51
  5. Step 5: Solve for x
    x = 142,272,478,667.51/405,346.48
  6. Step 6: Final answer
    x = 350,989.80

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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.