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Finding the Fourth Proportional to 378,808.83, 522,865.49 and 223,903.62

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Solution

The fourth proportional to 378,808.83, 522,865.49 and 223,903.62 is: 309,051.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,808.83 : 522,865.49 = 223,903.62 : x
  2. Step 2: Convert to fraction form
    378,808.83/522,865.49 = 223,903.62/x
  3. Step 3: Cross multiply
    378,808.83x = 522,865.49 × 223,903.62
  4. Step 4: Simplify right side
    378,808.83x = 117,071,475,984.07
  5. Step 5: Solve for x
    x = 117,071,475,984.07/378,808.83
  6. Step 6: Final answer
    x = 309,051.60

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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.