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Finding the Fourth Proportional to 305,274.78, 421,224.90 and 184,335.06

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Solution

The fourth proportional to 305,274.78, 421,224.90 and 184,335.06 is: 254,349.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,274.78 : 421,224.90 = 184,335.06 : x
  2. Step 2: Convert to fraction form
    305,274.78/421,224.90 = 184,335.06/x
  3. Step 3: Cross multiply
    305,274.78x = 421,224.90 × 184,335.06
  4. Step 4: Simplify right side
    305,274.78x = 77,646,517,214.99
  5. Step 5: Solve for x
    x = 77,646,517,214.99/305,274.78
  6. Step 6: Final answer
    x = 254,349.60

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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.