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Finding the Fourth Proportional to 213,106.80, 320,437.80 and 178,892.40

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Solution

The fourth proportional to 213,106.80, 320,437.80 and 178,892.40 is: 268,991.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,106.80 : 320,437.80 = 178,892.40 : x
  2. Step 2: Convert to fraction form
    213,106.80/320,437.80 = 178,892.40/x
  3. Step 3: Cross multiply
    213,106.80x = 320,437.80 × 178,892.40
  4. Step 4: Simplify right side
    213,106.80x = 57,323,887,092.72
  5. Step 5: Solve for x
    x = 57,323,887,092.72/213,106.80
  6. Step 6: Final answer
    x = 268,991.36

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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.