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Finding the Fourth Proportional to 378,090.99, 521,762.31 and 208,323.90

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Solution

The fourth proportional to 378,090.99, 521,762.31 and 208,323.90 is: 287,485.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,090.99 : 521,762.31 = 208,323.90 : x
  2. Step 2: Convert to fraction form
    378,090.99/521,762.31 = 208,323.90/x
  3. Step 3: Cross multiply
    378,090.99x = 521,762.31 × 208,323.90
  4. Step 4: Simplify right side
    378,090.99x = 108,695,559,292.21
  5. Step 5: Solve for x
    x = 108,695,559,292.21/378,090.99
  6. Step 6: Final answer
    x = 287,485.19

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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.