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Finding the Fourth Proportional to 378,744.96, 522,666.96 and 208,977.60

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Solution

The fourth proportional to 378,744.96, 522,666.96 and 208,977.60 is: 288,388.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,744.96 : 522,666.96 = 208,977.60 : x
  2. Step 2: Convert to fraction form
    378,744.96/522,666.96 = 208,977.60/x
  3. Step 3: Cross multiply
    378,744.96x = 522,666.96 × 208,977.60
  4. Step 4: Simplify right side
    378,744.96x = 109,225,686,900.10
  5. Step 5: Solve for x
    x = 109,225,686,900.10/378,744.96
  6. Step 6: Final answer
    x = 288,388.49

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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.