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Finding the Fourth Proportional to 458,648.88, 632,866.92 and 257,406

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Solution

The fourth proportional to 458,648.88, 632,866.92 and 257,406 is: 355,181.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,648.88 : 632,866.92 = 257,406 : x
  2. Step 2: Convert to fraction form
    458,648.88/632,866.92 = 257,406/x
  3. Step 3: Cross multiply
    458,648.88x = 632,866.92 × 257,406
  4. Step 4: Simplify right side
    458,648.88x = 162,903,742,409.52
  5. Step 5: Solve for x
    x = 162,903,742,409.52/458,648.88
  6. Step 6: Final answer
    x = 355,181.82

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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.