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Finding the Fourth Proportional to 305,280.81, 421,233.21 and 184,341.06

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Solution

The fourth proportional to 305,280.81, 421,233.21 and 184,341.06 is: 254,357.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,280.81 : 421,233.21 = 184,341.06 : x
  2. Step 2: Convert to fraction form
    305,280.81/421,233.21 = 184,341.06/x
  3. Step 3: Cross multiply
    305,280.81x = 421,233.21 × 184,341.06
  4. Step 4: Simplify right side
    305,280.81x = 77,650,576,438.60
  5. Step 5: Solve for x
    x = 77,650,576,438.60/305,280.81
  6. Step 6: Final answer
    x = 254,357.87

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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.