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Finding the Fourth Proportional to 329,478.48, 493,878.60 and 129,717.90

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Solution

The fourth proportional to 329,478.48, 493,878.60 and 129,717.90 is: 194,443.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,478.48 : 493,878.60 = 129,717.90 : x
  2. Step 2: Convert to fraction form
    329,478.48/493,878.60 = 129,717.90/x
  3. Step 3: Cross multiply
    329,478.48x = 493,878.60 × 129,717.90
  4. Step 4: Simplify right side
    329,478.48x = 64,064,894,846.94
  5. Step 5: Solve for x
    x = 64,064,894,846.94/329,478.48
  6. Step 6: Final answer
    x = 194,443.34

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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.