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Finding the Fourth Proportional to 458,570, 632,826.60 and 257,366

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Solution

The fourth proportional to 458,570, 632,826.60 and 257,366 is: 355,165.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,570 : 632,826.60 = 257,366 : x
  2. Step 2: Convert to fraction form
    458,570/632,826.60 = 257,366/x
  3. Step 3: Cross multiply
    458,570x = 632,826.60 × 257,366
  4. Step 4: Simplify right side
    458,570x = 162,868,050,735.60
  5. Step 5: Solve for x
    x = 162,868,050,735.60/458,570
  6. Step 6: Final answer
    x = 355,165.08

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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.