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Finding the Fourth Proportional to 497,273.49, 686,238.21 and 282,413.43

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Solution

The fourth proportional to 497,273.49, 686,238.21 and 282,413.43 is: 389,730.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,273.49 : 686,238.21 = 282,413.43 : x
  2. Step 2: Convert to fraction form
    497,273.49/686,238.21 = 282,413.43/x
  3. Step 3: Cross multiply
    497,273.49x = 686,238.21 × 282,413.43
  4. Step 4: Simplify right side
    497,273.49x = 193,802,886,683.16
  5. Step 5: Solve for x
    x = 193,802,886,683.16/497,273.49
  6. Step 6: Final answer
    x = 389,730.98

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1.5x scale

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.