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Finding the Fourth Proportional to 378,905.04, 522,871.20 and 217,646.64

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Solution

The fourth proportional to 378,905.04, 522,871.20 and 217,646.64 is: 300,342.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,905.04 : 522,871.20 = 217,646.64 : x
  2. Step 2: Convert to fraction form
    378,905.04/522,871.20 = 217,646.64/x
  3. Step 3: Cross multiply
    378,905.04x = 522,871.20 × 217,646.64
  4. Step 4: Simplify right side
    378,905.04x = 113,801,159,832.77
  5. Step 5: Solve for x
    x = 113,801,159,832.77/378,905.04
  6. Step 6: Final answer
    x = 300,342.16

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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.