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Finding the Fourth Proportional to 378,256.16, 521,987.28 and 208,506.08

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Solution

The fourth proportional to 378,256.16, 521,987.28 and 208,506.08 is: 287,734.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,256.16 : 521,987.28 = 208,506.08 : x
  2. Step 2: Convert to fraction form
    378,256.16/521,987.28 = 208,506.08/x
  3. Step 3: Cross multiply
    378,256.16x = 521,987.28 × 208,506.08
  4. Step 4: Simplify right side
    378,256.16x = 108,837,521,562.66
  5. Step 5: Solve for x
    x = 108,837,521,562.66/378,256.16
  6. Step 6: Final answer
    x = 287,734.96

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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.