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Finding the Fourth Proportional to 322,405.30, 483,462.15 and 144,820.90

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Solution

The fourth proportional to 322,405.30, 483,462.15 and 144,820.90 is: 217,165.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,405.30 : 483,462.15 = 144,820.90 : x
  2. Step 2: Convert to fraction form
    322,405.30/483,462.15 = 144,820.90/x
  3. Step 3: Cross multiply
    322,405.30x = 483,462.15 × 144,820.90
  4. Step 4: Simplify right side
    322,405.30x = 70,015,423,678.94
  5. Step 5: Solve for x
    x = 70,015,423,678.94/322,405.30
  6. Step 6: Final answer
    x = 217,165.86

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1.5x scale

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.