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Finding the Fourth Proportional to 278,262.72, 383,712.12 and 165,063.60

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Solution

The fourth proportional to 278,262.72, 383,712.12 and 165,063.60 is: 227,615.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,262.72 : 383,712.12 = 165,063.60 : x
  2. Step 2: Convert to fraction form
    278,262.72/383,712.12 = 165,063.60/x
  3. Step 3: Cross multiply
    278,262.72x = 383,712.12 × 165,063.60
  4. Step 4: Simplify right side
    278,262.72x = 63,336,903,890.83
  5. Step 5: Solve for x
    x = 63,336,903,890.83/278,262.72
  6. Step 6: Final answer
    x = 227,615.48

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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.