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Finding the Fourth Proportional to 497,074.32, 685,939.08 and 282,186

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Solution

The fourth proportional to 497,074.32, 685,939.08 and 282,186 is: 389,403.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,074.32 : 685,939.08 = 282,186 : x
  2. Step 2: Convert to fraction form
    497,074.32/685,939.08 = 282,186/x
  3. Step 3: Cross multiply
    497,074.32x = 685,939.08 × 282,186
  4. Step 4: Simplify right side
    497,074.32x = 193,562,405,228.88
  5. Step 5: Solve for x
    x = 193,562,405,228.88/497,074.32
  6. Step 6: Final answer
    x = 389,403.35

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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.