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Finding the Fourth Proportional to 357,407.12, 493,233.32 and 206,504.08

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Solution

The fourth proportional to 357,407.12, 493,233.32 and 206,504.08 is: 284,982.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,407.12 : 493,233.32 = 206,504.08 : x
  2. Step 2: Convert to fraction form
    357,407.12/493,233.32 = 206,504.08/x
  3. Step 3: Cross multiply
    357,407.12x = 493,233.32 × 206,504.08
  4. Step 4: Simplify right side
    357,407.12x = 101,854,692,971.95
  5. Step 5: Solve for x
    x = 101,854,692,971.95/357,407.12
  6. Step 6: Final answer
    x = 284,982.27

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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.