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Finding the Fourth Proportional to 278,262.95, 383,766.05 and 213,888.20

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Solution

The fourth proportional to 278,262.95, 383,766.05 and 213,888.20 is: 294,983.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,262.95 : 383,766.05 = 213,888.20 : x
  2. Step 2: Convert to fraction form
    278,262.95/383,766.05 = 213,888.20/x
  3. Step 3: Cross multiply
    278,262.95x = 383,766.05 × 213,888.20
  4. Step 4: Simplify right side
    278,262.95x = 82,083,028,271.50
  5. Step 5: Solve for x
    x = 82,083,028,271.50/278,262.95
  6. Step 6: Final answer
    x = 294,983.68

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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.