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Finding the Fourth Proportional to 389,320.40, 582,684.60 and 282,400.40

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Solution

The fourth proportional to 389,320.40, 582,684.60 and 282,400.40 is: 422,660.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,320.40 : 582,684.60 = 282,400.40 : x
  2. Step 2: Convert to fraction form
    389,320.40/582,684.60 = 282,400.40/x
  3. Step 3: Cross multiply
    389,320.40x = 582,684.60 × 282,400.40
  4. Step 4: Simplify right side
    389,320.40x = 164,550,364,113.84
  5. Step 5: Solve for x
    x = 164,550,364,113.84/389,320.40
  6. Step 6: Final answer
    x = 422,660.52

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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.