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Finding the Fourth Proportional to 393,043.20, 589,564.80 and 386,482.20

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Solution

The fourth proportional to 393,043.20, 589,564.80 and 386,482.20 is: 579,723.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,043.20 : 589,564.80 = 386,482.20 : x
  2. Step 2: Convert to fraction form
    393,043.20/589,564.80 = 386,482.20/x
  3. Step 3: Cross multiply
    393,043.20x = 589,564.80 × 386,482.20
  4. Step 4: Simplify right side
    393,043.20x = 227,856,300,946.56
  5. Step 5: Solve for x
    x = 227,856,300,946.56/393,043.20
  6. Step 6: Final answer
    x = 579,723.30

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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.