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Finding the Fourth Proportional to 306,543.40, 459,817.69 and 106,863.42

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Solution

The fourth proportional to 306,543.40, 459,817.69 and 106,863.42 is: 160,296.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,543.40 : 459,817.69 = 106,863.42 : x
  2. Step 2: Convert to fraction form
    306,543.40/459,817.69 = 106,863.42/x
  3. Step 3: Cross multiply
    306,543.40x = 459,817.69 × 106,863.42
  4. Step 4: Simplify right side
    306,543.40x = 49,137,690,929.90
  5. Step 5: Solve for x
    x = 49,137,690,929.90/306,543.40
  6. Step 6: Final answer
    x = 160,296.03

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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.