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Finding the Fourth Proportional to 329,503.68, 494,078.40 and 104,803.20

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Solution

The fourth proportional to 329,503.68, 494,078.40 and 104,803.20 is: 157,148.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,503.68 : 494,078.40 = 104,803.20 : x
  2. Step 2: Convert to fraction form
    329,503.68/494,078.40 = 104,803.20/x
  3. Step 3: Cross multiply
    329,503.68x = 494,078.40 × 104,803.20
  4. Step 4: Simplify right side
    329,503.68x = 51,780,997,370.88
  5. Step 5: Solve for x
    x = 51,780,997,370.88/329,503.68
  6. Step 6: Final answer
    x = 157,148.46

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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.