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Finding the Fourth Proportional to 421,809.60, 582,105.60 and 230,822.40

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Solution

The fourth proportional to 421,809.60, 582,105.60 and 230,822.40 is: 318,539.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,809.60 : 582,105.60 = 230,822.40 : x
  2. Step 2: Convert to fraction form
    421,809.60/582,105.60 = 230,822.40/x
  3. Step 3: Cross multiply
    421,809.60x = 582,105.60 × 230,822.40
  4. Step 4: Simplify right side
    421,809.60x = 134,363,011,645.44
  5. Step 5: Solve for x
    x = 134,363,011,645.44/421,809.60
  6. Step 6: Final answer
    x = 318,539.48

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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.