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Finding the Fourth Proportional to 389,326.40, 582,693.60 and 282,406.40

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Solution

The fourth proportional to 389,326.40, 582,693.60 and 282,406.40 is: 422,669.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,326.40 : 582,693.60 = 282,406.40 : x
  2. Step 2: Convert to fraction form
    389,326.40/582,693.60 = 282,406.40/x
  3. Step 3: Cross multiply
    389,326.40x = 582,693.60 × 282,406.40
  4. Step 4: Simplify right side
    389,326.40x = 164,556,401,879.04
  5. Step 5: Solve for x
    x = 164,556,401,879.04/389,326.40
  6. Step 6: Final answer
    x = 422,669.52

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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.