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Finding the Fourth Proportional to 321,256.80, 481,888.98 and 152,793.36

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Solution

The fourth proportional to 321,256.80, 481,888.98 and 152,793.36 is: 229,191.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,256.80 : 481,888.98 = 152,793.36 : x
  2. Step 2: Convert to fraction form
    321,256.80/481,888.98 = 152,793.36/x
  3. Step 3: Cross multiply
    321,256.80x = 481,888.98 × 152,793.36
  4. Step 4: Simplify right side
    321,256.80x = 73,629,436,401.17
  5. Step 5: Solve for x
    x = 73,629,436,401.17/321,256.80
  6. Step 6: Final answer
    x = 229,191.84

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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.