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Finding the Fourth Proportional to 459,803.47, 689,697.16 and 206,904.97

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Solution

The fourth proportional to 459,803.47, 689,697.16 and 206,904.97 is: 310,353.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,803.47 : 689,697.16 = 206,904.97 : x
  2. Step 2: Convert to fraction form
    459,803.47/689,697.16 = 206,904.97/x
  3. Step 3: Cross multiply
    459,803.47x = 689,697.16 × 206,904.97
  4. Step 4: Simplify right side
    459,803.47x = 142,701,770,198.89
  5. Step 5: Solve for x
    x = 142,701,770,198.89/459,803.47
  6. Step 6: Final answer
    x = 310,353.83

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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.