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Finding the Fourth Proportional to 329,821.48, 494,768.04 and 105,129.10

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Solution

The fourth proportional to 329,821.48, 494,768.04 and 105,129.10 is: 157,705.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,821.48 : 494,768.04 = 105,129.10 : x
  2. Step 2: Convert to fraction form
    329,821.48/494,768.04 = 105,129.10/x
  3. Step 3: Cross multiply
    329,821.48x = 494,768.04 × 105,129.10
  4. Step 4: Simplify right side
    329,821.48x = 52,014,518,753.96
  5. Step 5: Solve for x
    x = 52,014,518,753.96/329,821.48
  6. Step 6: Final answer
    x = 157,705.07

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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.