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Finding the Fourth Proportional to 280,164, 386,626.32 and 179,562

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Solution

The fourth proportional to 280,164, 386,626.32 and 179,562 is: 247,795.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,164 : 386,626.32 = 179,562 : x
  2. Step 2: Convert to fraction form
    280,164/386,626.32 = 179,562/x
  3. Step 3: Cross multiply
    280,164x = 386,626.32 × 179,562
  4. Step 4: Simplify right side
    280,164x = 69,423,395,271.84
  5. Step 5: Solve for x
    x = 69,423,395,271.84/280,164
  6. Step 6: Final answer
    x = 247,795.56

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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.