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Finding the Fourth Proportional to 400,009.20, 600,071.40 and 213,034.80

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Solution

The fourth proportional to 400,009.20, 600,071.40 and 213,034.80 is: 319,582.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,009.20 : 600,071.40 = 213,034.80 : x
  2. Step 2: Convert to fraction form
    400,009.20/600,071.40 = 213,034.80/x
  3. Step 3: Cross multiply
    400,009.20x = 600,071.40 × 213,034.80
  4. Step 4: Simplify right side
    400,009.20x = 127,836,090,684.72
  5. Step 5: Solve for x
    x = 127,836,090,684.72/400,009.20
  6. Step 6: Final answer
    x = 319,582.88

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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.