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Finding the Fourth Proportional to 305,421.54, 421,462.69 and 184,491.37

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Solution

The fourth proportional to 305,421.54, 421,462.69 and 184,491.37 is: 254,586.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,421.54 : 421,462.69 = 184,491.37 : x
  2. Step 2: Convert to fraction form
    305,421.54/421,462.69 = 184,491.37/x
  3. Step 3: Cross multiply
    305,421.54x = 421,462.69 × 184,491.37
  4. Step 4: Simplify right side
    305,421.54x = 77,756,230,185.35
  5. Step 5: Solve for x
    x = 77,756,230,185.35/305,421.54
  6. Step 6: Final answer
    x = 254,586.60

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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.