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Finding the Fourth Proportional to 391,482.16, 587,235.42 and 186,271.84

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Solution

The fourth proportional to 391,482.16, 587,235.42 and 186,271.84 is: 279,413.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,482.16 : 587,235.42 = 186,271.84 : x
  2. Step 2: Convert to fraction form
    391,482.16/587,235.42 = 186,271.84/x
  3. Step 3: Cross multiply
    391,482.16x = 587,235.42 × 186,271.84
  4. Step 4: Simplify right side
    391,482.16x = 109,385,422,196.57
  5. Step 5: Solve for x
    x = 109,385,422,196.57/391,482.16
  6. Step 6: Final answer
    x = 279,413.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.