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Finding the Fourth Proportional to 458,569, 632,825.22 and 257,365

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Solution

The fourth proportional to 458,569, 632,825.22 and 257,365 is: 355,163.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,569 : 632,825.22 = 257,365 : x
  2. Step 2: Convert to fraction form
    458,569/632,825.22 = 257,365/x
  3. Step 3: Cross multiply
    458,569x = 632,825.22 × 257,365
  4. Step 4: Simplify right side
    458,569x = 162,867,062,745.30
  5. Step 5: Solve for x
    x = 162,867,062,745.30/458,569
  6. Step 6: Final answer
    x = 355,163.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.