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Finding the Fourth Proportional to 329,722.20, 493,271.10 and 285,836.40

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Solution

The fourth proportional to 329,722.20, 493,271.10 and 285,836.40 is: 427,617.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,722.20 : 493,271.10 = 285,836.40 : x
  2. Step 2: Convert to fraction form
    329,722.20/493,271.10 = 285,836.40/x
  3. Step 3: Cross multiply
    329,722.20x = 493,271.10 × 285,836.40
  4. Step 4: Simplify right side
    329,722.20x = 140,994,835,448.04
  5. Step 5: Solve for x
    x = 140,994,835,448.04/329,722.20
  6. Step 6: Final answer
    x = 427,617.05

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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.