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Finding the Fourth Proportional to 408,308.92, 612,477.14 and 313,682.92

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Solution

The fourth proportional to 408,308.92, 612,477.14 and 313,682.92 is: 470,534.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,308.92 : 612,477.14 = 313,682.92 : x
  2. Step 2: Convert to fraction form
    408,308.92/612,477.14 = 313,682.92/x
  3. Step 3: Cross multiply
    408,308.92x = 612,477.14 × 313,682.92
  4. Step 4: Simplify right side
    408,308.92x = 192,123,617,708.45
  5. Step 5: Solve for x
    x = 192,123,617,708.45/408,308.92
  6. Step 6: Final answer
    x = 470,534.95

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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.