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Finding the Fourth Proportional to 421,967.76, 582,330.32 and 230,981.31

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Solution

The fourth proportional to 421,967.76, 582,330.32 and 230,981.31 is: 318,762.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,967.76 : 582,330.32 = 230,981.31 : x
  2. Step 2: Convert to fraction form
    421,967.76/582,330.32 = 230,981.31/x
  3. Step 3: Cross multiply
    421,967.76x = 582,330.32 × 230,981.31
  4. Step 4: Simplify right side
    421,967.76x = 134,507,420,166.32
  5. Step 5: Solve for x
    x = 134,507,420,166.32/421,967.76
  6. Step 6: Final answer
    x = 318,762.32

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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.