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Finding the Fourth Proportional to 378,736.74, 522,656.34 and 208,970.88

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Solution

The fourth proportional to 378,736.74, 522,656.34 and 208,970.88 is: 288,379.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,736.74 : 522,656.34 = 208,970.88 : x
  2. Step 2: Convert to fraction form
    378,736.74/522,656.34 = 208,970.88/x
  3. Step 3: Cross multiply
    378,736.74x = 522,656.34 × 208,970.88
  4. Step 4: Simplify right side
    378,736.74x = 109,219,955,307.38
  5. Step 5: Solve for x
    x = 109,219,955,307.38/378,736.74
  6. Step 6: Final answer
    x = 288,379.62

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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.