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Finding the Fourth Proportional to 378,184, 521,904.72 and 208,429.08

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Solution

The fourth proportional to 378,184, 521,904.72 and 208,429.08 is: 287,638.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,184 : 521,904.72 = 208,429.08 : x
  2. Step 2: Convert to fraction form
    378,184/521,904.72 = 208,429.08/x
  3. Step 3: Cross multiply
    378,184x = 521,904.72 × 208,429.08
  4. Step 4: Simplify right side
    378,184x = 108,780,120,637.26
  5. Step 5: Solve for x
    x = 108,780,120,637.26/378,184
  6. Step 6: Final answer
    x = 287,638.08

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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.