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Finding the Fourth Proportional to 321,129.42, 443,152.80 and 177,889.02

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Solution

The fourth proportional to 321,129.42, 443,152.80 and 177,889.02 is: 245,483.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,129.42 : 443,152.80 = 177,889.02 : x
  2. Step 2: Convert to fraction form
    321,129.42/443,152.80 = 177,889.02/x
  3. Step 3: Cross multiply
    321,129.42x = 443,152.80 × 177,889.02
  4. Step 4: Simplify right side
    321,129.42x = 78,832,017,302.26
  5. Step 5: Solve for x
    x = 78,832,017,302.26/321,129.42
  6. Step 6: Final answer
    x = 245,483.63

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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.