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Finding the Fourth Proportional to 278,017.80, 383,630.22 and 197,415.92

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Solution

The fourth proportional to 278,017.80, 383,630.22 and 197,415.92 is: 272,409.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,017.80 : 383,630.22 = 197,415.92 : x
  2. Step 2: Convert to fraction form
    278,017.80/383,630.22 = 197,415.92/x
  3. Step 3: Cross multiply
    278,017.80x = 383,630.22 × 197,415.92
  4. Step 4: Simplify right side
    278,017.80x = 75,734,710,902.95
  5. Step 5: Solve for x
    x = 75,734,710,902.95/278,017.80
  6. Step 6: Final answer
    x = 272,409.58

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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.