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Finding the Fourth Proportional to 280,847.40, 421,271.10 and 266,413.20

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Solution

The fourth proportional to 280,847.40, 421,271.10 and 266,413.20 is: 399,619.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,847.40 : 421,271.10 = 266,413.20 : x
  2. Step 2: Convert to fraction form
    280,847.40/421,271.10 = 266,413.20/x
  3. Step 3: Cross multiply
    280,847.40x = 421,271.10 × 266,413.20
  4. Step 4: Simplify right side
    280,847.40x = 112,232,181,818.52
  5. Step 5: Solve for x
    x = 112,232,181,818.52/280,847.40
  6. Step 6: Final answer
    x = 399,619.80

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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.