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Finding the Fourth Proportional to 213,009.60, 319,514.40 and 181,346.70

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Solution

The fourth proportional to 213,009.60, 319,514.40 and 181,346.70 is: 272,020.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,009.60 : 319,514.40 = 181,346.70 : x
  2. Step 2: Convert to fraction form
    213,009.60/319,514.40 = 181,346.70/x
  3. Step 3: Cross multiply
    213,009.60x = 319,514.40 × 181,346.70
  4. Step 4: Simplify right side
    213,009.60x = 57,942,882,042.48
  5. Step 5: Solve for x
    x = 57,942,882,042.48/213,009.60
  6. Step 6: Final answer
    x = 272,020.05

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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.