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Finding the Fourth Proportional to 393,218.80, 589,828.60 and 97,730.80

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Solution

The fourth proportional to 393,218.80, 589,828.60 and 97,730.80 is: 146,596.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,218.80 : 589,828.60 = 97,730.80 : x
  2. Step 2: Convert to fraction form
    393,218.80/589,828.60 = 97,730.80/x
  3. Step 3: Cross multiply
    393,218.80x = 589,828.60 × 97,730.80
  4. Step 4: Simplify right side
    393,218.80x = 57,644,420,940.88
  5. Step 5: Solve for x
    x = 57,644,420,940.88/393,218.80
  6. Step 6: Final answer
    x = 146,596.30

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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.