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Finding the Fourth Proportional to 458,418.54, 632,627.94 and 257,214.54

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Solution

The fourth proportional to 458,418.54, 632,627.94 and 257,214.54 is: 354,961.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,418.54 : 632,627.94 = 257,214.54 : x
  2. Step 2: Convert to fraction form
    458,418.54/632,627.94 = 257,214.54/x
  3. Step 3: Cross multiply
    458,418.54x = 632,627.94 × 257,214.54
  4. Step 4: Simplify right side
    458,418.54x = 162,721,104,578.25
  5. Step 5: Solve for x
    x = 162,721,104,578.25/458,418.54
  6. Step 6: Final answer
    x = 354,961.88

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1.5x scale

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.