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Finding the Fourth Proportional to 368,114.52, 507,984.92 and 206,978.80

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Solution

The fourth proportional to 368,114.52, 507,984.92 and 206,978.80 is: 285,623.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,114.52 : 507,984.92 = 206,978.80 : x
  2. Step 2: Convert to fraction form
    368,114.52/507,984.92 = 206,978.80/x
  3. Step 3: Cross multiply
    368,114.52x = 507,984.92 × 206,978.80
  4. Step 4: Simplify right side
    368,114.52x = 105,142,109,159.70
  5. Step 5: Solve for x
    x = 105,142,109,159.70/368,114.52
  6. Step 6: Final answer
    x = 285,623.37

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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.