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Finding the Fourth Proportional to 421,969.50, 582,295.55 and 230,945.94

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Solution

The fourth proportional to 421,969.50, 582,295.55 and 230,945.94 is: 318,693.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,969.50 : 582,295.55 = 230,945.94 : x
  2. Step 2: Convert to fraction form
    421,969.50/582,295.55 = 230,945.94/x
  3. Step 3: Cross multiply
    421,969.50x = 582,295.55 × 230,945.94
  4. Step 4: Simplify right side
    421,969.50x = 134,478,791,997.84
  5. Step 5: Solve for x
    x = 134,478,791,997.84/421,969.50
  6. Step 6: Final answer
    x = 318,693.16

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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.