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Finding the Fourth Proportional to 286,300.05, 395,104.01 and 158,977.77

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Solution

The fourth proportional to 286,300.05, 395,104.01 and 158,977.77 is: 219,394.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,300.05 : 395,104.01 = 158,977.77 : x
  2. Step 2: Convert to fraction form
    286,300.05/395,104.01 = 158,977.77/x
  3. Step 3: Cross multiply
    286,300.05x = 395,104.01 × 158,977.77
  4. Step 4: Simplify right side
    286,300.05x = 62,812,753,632.97
  5. Step 5: Solve for x
    x = 62,812,753,632.97/286,300.05
  6. Step 6: Final answer
    x = 219,394.84

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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.