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Finding the Fourth Proportional to 378,009.84, 521,652.48 and 208,244.16

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Solution

The fourth proportional to 378,009.84, 521,652.48 and 208,244.16 is: 287,376.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,009.84 : 521,652.48 = 208,244.16 : x
  2. Step 2: Convert to fraction form
    378,009.84/521,652.48 = 208,244.16/x
  3. Step 3: Cross multiply
    378,009.84x = 521,652.48 × 208,244.16
  4. Step 4: Simplify right side
    378,009.84x = 108,631,082,509.52
  5. Step 5: Solve for x
    x = 108,631,082,509.52/378,009.84
  6. Step 6: Final answer
    x = 287,376.34

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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.