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Finding the Fourth Proportional to 421,446.06, 631,403.46 and 243,577.32

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Solution

The fourth proportional to 421,446.06, 631,403.46 and 243,577.32 is: 364,923.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,446.06 : 631,403.46 = 243,577.32 : x
  2. Step 2: Convert to fraction form
    421,446.06/631,403.46 = 243,577.32/x
  3. Step 3: Cross multiply
    421,446.06x = 631,403.46 × 243,577.32
  4. Step 4: Simplify right side
    421,446.06x = 153,795,562,625.53
  5. Step 5: Solve for x
    x = 153,795,562,625.53/421,446.06
  6. Step 6: Final answer
    x = 364,923.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.