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Finding the Fourth Proportional to 357,083.88, 492,739.86 and 213,840.24

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Solution

The fourth proportional to 357,083.88, 492,739.86 and 213,840.24 is: 295,078.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,083.88 : 492,739.86 = 213,840.24 : x
  2. Step 2: Convert to fraction form
    357,083.88/492,739.86 = 213,840.24/x
  3. Step 3: Cross multiply
    357,083.88x = 492,739.86 × 213,840.24
  4. Step 4: Simplify right side
    357,083.88x = 105,367,607,671.24
  5. Step 5: Solve for x
    x = 105,367,607,671.24/357,083.88
  6. Step 6: Final answer
    x = 295,078.03

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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.