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Finding the Fourth Proportional to 500,299.74, 690,413.90 and 270,857.07

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Solution

The fourth proportional to 500,299.74, 690,413.90 and 270,857.07 is: 373,782.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,299.74 : 690,413.90 = 270,857.07 : x
  2. Step 2: Convert to fraction form
    500,299.74/690,413.90 = 270,857.07/x
  3. Step 3: Cross multiply
    500,299.74x = 690,413.90 × 270,857.07
  4. Step 4: Simplify right side
    500,299.74x = 187,003,486,041.27
  5. Step 5: Solve for x
    x = 187,003,486,041.27/500,299.74
  6. Step 6: Final answer
    x = 373,782.90

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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.