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Finding the Fourth Proportional to 251,736.80, 377,605.20 and 205,656.80

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Solution

The fourth proportional to 251,736.80, 377,605.20 and 205,656.80 is: 308,485.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,736.80 : 377,605.20 = 205,656.80 : x
  2. Step 2: Convert to fraction form
    251,736.80/377,605.20 = 205,656.80/x
  3. Step 3: Cross multiply
    251,736.80x = 377,605.20 × 205,656.80
  4. Step 4: Simplify right side
    251,736.80x = 77,657,077,095.36
  5. Step 5: Solve for x
    x = 77,657,077,095.36/251,736.80
  6. Step 6: Final answer
    x = 308,485.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.