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Finding the Fourth Proportional to 393,318, 589,979.16 and 97,830

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Solution

The fourth proportional to 393,318, 589,979.16 and 97,830 is: 146,745.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,318 : 589,979.16 = 97,830 : x
  2. Step 2: Convert to fraction form
    393,318/589,979.16 = 97,830/x
  3. Step 3: Cross multiply
    393,318x = 589,979.16 × 97,830
  4. Step 4: Simplify right side
    393,318x = 57,717,661,222.80
  5. Step 5: Solve for x
    x = 57,717,661,222.80/393,318
  6. Step 6: Final answer
    x = 146,745.54

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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.