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Finding the Fourth Proportional to 329,670.45, 495,489.83 and 286,367.85

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Solution

The fourth proportional to 329,670.45, 495,489.83 and 286,367.85 is: 430,406.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,670.45 : 495,489.83 = 286,367.85 : x
  2. Step 2: Convert to fraction form
    329,670.45/495,489.83 = 286,367.85/x
  3. Step 3: Cross multiply
    329,670.45x = 495,489.83 × 286,367.85
  4. Step 4: Simplify right side
    329,670.45x = 141,892,355,882.13
  5. Step 5: Solve for x
    x = 141,892,355,882.13/329,670.45
  6. Step 6: Final answer
    x = 430,406.66

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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.