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Finding the Fourth Proportional to 278,405.58, 384,200.73 and 151,081.14

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Solution

The fourth proportional to 278,405.58, 384,200.73 and 151,081.14 is: 208,492.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,405.58 : 384,200.73 = 151,081.14 : x
  2. Step 2: Convert to fraction form
    278,405.58/384,200.73 = 151,081.14/x
  3. Step 3: Cross multiply
    278,405.58x = 384,200.73 × 151,081.14
  4. Step 4: Simplify right side
    278,405.58x = 58,045,484,277.23
  5. Step 5: Solve for x
    x = 58,045,484,277.23/278,405.58
  6. Step 6: Final answer
    x = 208,492.53

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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.