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Finding the Fourth Proportional to 378,168.62, 521,870.04 and 208,402.74

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Solution

The fourth proportional to 378,168.62, 521,870.04 and 208,402.74 is: 287,594.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,168.62 : 521,870.04 = 208,402.74 : x
  2. Step 2: Convert to fraction form
    378,168.62/521,870.04 = 208,402.74/x
  3. Step 3: Cross multiply
    378,168.62x = 521,870.04 × 208,402.74
  4. Step 4: Simplify right side
    378,168.62x = 108,759,146,259.91
  5. Step 5: Solve for x
    x = 108,759,146,259.91/378,168.62
  6. Step 6: Final answer
    x = 287,594.32

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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.