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Finding the Fourth Proportional to 459,307.49, 689,074.25 and 159,790.64

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Solution

The fourth proportional to 459,307.49, 689,074.25 and 159,790.64 is: 239,725.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,307.49 : 689,074.25 = 159,790.64 : x
  2. Step 2: Convert to fraction form
    459,307.49/689,074.25 = 159,790.64/x
  3. Step 3: Cross multiply
    459,307.49x = 689,074.25 × 159,790.64
  4. Step 4: Simplify right side
    459,307.49x = 110,107,611,170.70
  5. Step 5: Solve for x
    x = 110,107,611,170.70/459,307.49
  6. Step 6: Final answer
    x = 239,725.27

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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.