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Finding the Fourth Proportional to 318,053.96, 438,978.30 and 188,967.59

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Solution

The fourth proportional to 318,053.96, 438,978.30 and 188,967.59 is: 260,813.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,053.96 : 438,978.30 = 188,967.59 : x
  2. Step 2: Convert to fraction form
    318,053.96/438,978.30 = 188,967.59/x
  3. Step 3: Cross multiply
    318,053.96x = 438,978.30 × 188,967.59
  4. Step 4: Simplify right side
    318,053.96x = 82,952,670,730.34
  5. Step 5: Solve for x
    x = 82,952,670,730.34/318,053.96
  6. Step 6: Final answer
    x = 260,813.20

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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.