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Finding the Fourth Proportional to 601,912.86, 830,634.44 and 329,975.81

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Solution

The fourth proportional to 601,912.86, 830,634.44 and 329,975.81 is: 455,363.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,912.86 : 830,634.44 = 329,975.81 : x
  2. Step 2: Convert to fraction form
    601,912.86/830,634.44 = 329,975.81/x
  3. Step 3: Cross multiply
    601,912.86x = 830,634.44 × 329,975.81
  4. Step 4: Simplify right side
    601,912.86x = 274,089,272,152.90
  5. Step 5: Solve for x
    x = 274,089,272,152.90/601,912.86
  6. Step 6: Final answer
    x = 455,363.71

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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.