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Finding the Fourth Proportional to 378,762.54, 522,670.23 and 208,996.26

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Solution

The fourth proportional to 378,762.54, 522,670.23 and 208,996.26 is: 288,402.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,762.54 : 522,670.23 = 208,996.26 : x
  2. Step 2: Convert to fraction form
    378,762.54/522,670.23 = 208,996.26/x
  3. Step 3: Cross multiply
    378,762.54x = 522,670.23 × 208,996.26
  4. Step 4: Simplify right side
    378,762.54x = 109,236,123,283.34
  5. Step 5: Solve for x
    x = 109,236,123,283.34/378,762.54
  6. Step 6: Final answer
    x = 288,402.66

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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.