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Finding the Fourth Proportional to 393,568.40, 589,040.40 and 346,329.20

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Solution

The fourth proportional to 393,568.40, 589,040.40 and 346,329.20 is: 518,339.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,568.40 : 589,040.40 = 346,329.20 : x
  2. Step 2: Convert to fraction form
    393,568.40/589,040.40 = 346,329.20/x
  3. Step 3: Cross multiply
    393,568.40x = 589,040.40 × 346,329.20
  4. Step 4: Simplify right side
    393,568.40x = 204,001,890,499.68
  5. Step 5: Solve for x
    x = 204,001,890,499.68/393,568.40
  6. Step 6: Final answer
    x = 518,339.10

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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.