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Finding the Fourth Proportional to 402,409.40, 603,614.10 and 396,188.60

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Solution

The fourth proportional to 402,409.40, 603,614.10 and 396,188.60 is: 594,282.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,409.40 : 603,614.10 = 396,188.60 : x
  2. Step 2: Convert to fraction form
    402,409.40/603,614.10 = 396,188.60/x
  3. Step 3: Cross multiply
    402,409.40x = 603,614.10 × 396,188.60
  4. Step 4: Simplify right side
    402,409.40x = 239,145,025,219.26
  5. Step 5: Solve for x
    x = 239,145,025,219.26/402,409.40
  6. Step 6: Final answer
    x = 594,282.90

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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.