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Finding the Fourth Proportional to 413,065.26, 618,394.40 and 306,919.67

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Solution

The fourth proportional to 413,065.26, 618,394.40 and 306,919.67 is: 459,485.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,065.26 : 618,394.40 = 306,919.67 : x
  2. Step 2: Convert to fraction form
    413,065.26/618,394.40 = 306,919.67/x
  3. Step 3: Cross multiply
    413,065.26x = 618,394.40 × 306,919.67
  4. Step 4: Simplify right side
    413,065.26x = 189,797,400,551.28
  5. Step 5: Solve for x
    x = 189,797,400,551.28/413,065.26
  6. Step 6: Final answer
    x = 459,485.27

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1.5x scale

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.