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Finding the Fourth Proportional to 382,413.68, 527,743.66 and 210,338.90

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Solution

The fourth proportional to 382,413.68, 527,743.66 and 210,338.90 is: 290,274.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,413.68 : 527,743.66 = 210,338.90 : x
  2. Step 2: Convert to fraction form
    382,413.68/527,743.66 = 210,338.90/x
  3. Step 3: Cross multiply
    382,413.68x = 527,743.66 × 210,338.90
  4. Step 4: Simplify right side
    382,413.68x = 111,005,020,926.37
  5. Step 5: Solve for x
    x = 111,005,020,926.37/382,413.68
  6. Step 6: Final answer
    x = 290,274.71

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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.