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Finding the Fourth Proportional to 497,081.83, 685,948.47 and 282,193.69

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Solution

The fourth proportional to 497,081.83, 685,948.47 and 282,193.69 is: 389,413.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,081.83 : 685,948.47 = 282,193.69 : x
  2. Step 2: Convert to fraction form
    497,081.83/685,948.47 = 282,193.69/x
  3. Step 3: Cross multiply
    497,081.83x = 685,948.47 × 282,193.69
  4. Step 4: Simplify right side
    497,081.83x = 193,570,328,889.77
  5. Step 5: Solve for x
    x = 193,570,328,889.77/497,081.83
  6. Step 6: Final answer
    x = 389,413.41

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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.