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Finding the Fourth Proportional to 402,416.40, 603,624.60 and 396,195.60

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Solution

The fourth proportional to 402,416.40, 603,624.60 and 396,195.60 is: 594,293.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,416.40 : 603,624.60 = 396,195.60 : x
  2. Step 2: Convert to fraction form
    402,416.40/603,624.60 = 396,195.60/x
  3. Step 3: Cross multiply
    402,416.40x = 603,624.60 × 396,195.60
  4. Step 4: Simplify right side
    402,416.40x = 239,153,410,571.76
  5. Step 5: Solve for x
    x = 239,153,410,571.76/402,416.40
  6. Step 6: Final answer
    x = 594,293.40

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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.