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Finding the Fourth Proportional to 278,488.56, 384,303.90 and 151,161.42

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Solution

The fourth proportional to 278,488.56, 384,303.90 and 151,161.42 is: 208,597.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,488.56 : 384,303.90 = 151,161.42 : x
  2. Step 2: Convert to fraction form
    278,488.56/384,303.90 = 151,161.42/x
  3. Step 3: Cross multiply
    278,488.56x = 384,303.90 × 151,161.42
  4. Step 4: Simplify right side
    278,488.56x = 58,091,923,235.54
  5. Step 5: Solve for x
    x = 58,091,923,235.54/278,488.56
  6. Step 6: Final answer
    x = 208,597.16

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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.