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Finding the Fourth Proportional to 458,604.88, 632,840.04 and 257,362

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Solution

The fourth proportional to 458,604.88, 632,840.04 and 257,362 is: 355,140.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,604.88 : 632,840.04 = 257,362 : x
  2. Step 2: Convert to fraction form
    458,604.88/632,840.04 = 257,362/x
  3. Step 3: Cross multiply
    458,604.88x = 632,840.04 × 257,362
  4. Step 4: Simplify right side
    458,604.88x = 162,868,978,374.48
  5. Step 5: Solve for x
    x = 162,868,978,374.48/458,604.88
  6. Step 6: Final answer
    x = 355,140.09

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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.