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Finding the Fourth Proportional to 278,764.80, 384,676.47 and 151,437.66

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Solution

The fourth proportional to 278,764.80, 384,676.47 and 151,437.66 is: 208,973.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,764.80 : 384,676.47 = 151,437.66 : x
  2. Step 2: Convert to fraction form
    278,764.80/384,676.47 = 151,437.66/x
  3. Step 3: Cross multiply
    278,764.80x = 384,676.47 × 151,437.66
  4. Step 4: Simplify right side
    278,764.80x = 58,254,504,473.86
  5. Step 5: Solve for x
    x = 58,254,504,473.86/278,764.80
  6. Step 6: Final answer
    x = 208,973.67

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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.