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Finding the Fourth Proportional to 497,078.32, 685,944.52 and 282,190

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Solution

The fourth proportional to 497,078.32, 685,944.52 and 282,190 is: 389,408.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,078.32 : 685,944.52 = 282,190 : x
  2. Step 2: Convert to fraction form
    497,078.32/685,944.52 = 282,190/x
  3. Step 3: Cross multiply
    497,078.32x = 685,944.52 × 282,190
  4. Step 4: Simplify right side
    497,078.32x = 193,566,684,098.80
  5. Step 5: Solve for x
    x = 193,566,684,098.80/497,078.32
  6. Step 6: Final answer
    x = 389,408.82

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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.