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Finding the Fourth Proportional to 292,212.70, 438,647.10 and 225,946.60

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Solution

The fourth proportional to 292,212.70, 438,647.10 and 225,946.60 is: 339,173.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,212.70 : 438,647.10 = 225,946.60 : x
  2. Step 2: Convert to fraction form
    292,212.70/438,647.10 = 225,946.60/x
  3. Step 3: Cross multiply
    292,212.70x = 438,647.10 × 225,946.60
  4. Step 4: Simplify right side
    292,212.70x = 99,110,820,844.86
  5. Step 5: Solve for x
    x = 99,110,820,844.86/292,212.70
  6. Step 6: Final answer
    x = 339,173.56

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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.