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Finding the Fourth Proportional to 378,050.63, 521,708.31 and 205,968.11

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Solution

The fourth proportional to 378,050.63, 521,708.31 and 205,968.11 is: 284,235.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,050.63 : 521,708.31 = 205,968.11 : x
  2. Step 2: Convert to fraction form
    378,050.63/521,708.31 = 205,968.11/x
  3. Step 3: Cross multiply
    378,050.63x = 521,708.31 × 205,968.11
  4. Step 4: Simplify right side
    378,050.63x = 107,455,271,973.45
  5. Step 5: Solve for x
    x = 107,455,271,973.45/378,050.63
  6. Step 6: Final answer
    x = 284,235.14

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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.