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Finding the Fourth Proportional to 205,822.80, 308,296.80 and 170,830.80

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Solution

The fourth proportional to 205,822.80, 308,296.80 and 170,830.80 is: 255,883.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,822.80 : 308,296.80 = 170,830.80 : x
  2. Step 2: Convert to fraction form
    205,822.80/308,296.80 = 170,830.80/x
  3. Step 3: Cross multiply
    205,822.80x = 308,296.80 × 170,830.80
  4. Step 4: Simplify right side
    205,822.80x = 52,666,588,981.44
  5. Step 5: Solve for x
    x = 52,666,588,981.44/205,822.80
  6. Step 6: Final answer
    x = 255,883.16

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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.