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Finding the Fourth Proportional to 405,086.40, 607,629.60 and 398,865.60

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Solution

The fourth proportional to 405,086.40, 607,629.60 and 398,865.60 is: 598,298.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,086.40 : 607,629.60 = 398,865.60 : x
  2. Step 2: Convert to fraction form
    405,086.40/607,629.60 = 398,865.60/x
  3. Step 3: Cross multiply
    405,086.40x = 607,629.60 × 398,865.60
  4. Step 4: Simplify right side
    405,086.40x = 242,362,544,981.76
  5. Step 5: Solve for x
    x = 242,362,544,981.76/405,086.40
  6. Step 6: Final answer
    x = 598,298.40

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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.