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Finding the Fourth Proportional to 399,219,866.40, 597,934,004.40 and 327,556,250.40

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Solution

The fourth proportional to 399,219,866.40, 597,934,004.40 and 327,556,250.40 is: 490,599,383.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,219,866.40 : 597,934,004.40 = 327,556,250.40 : x
  2. Step 2: Convert to fraction form
    399,219,866.40/597,934,004.40 = 327,556,250.40/x
  3. Step 3: Cross multiply
    399,219,866.40x = 597,934,004.40 × 327,556,250.40
  4. Step 4: Simplify right side
    399,219,866.40x = 195,857,020,467,921,088
  5. Step 5: Solve for x
    x = 195,857,020,467,921,088/399,219,866.40
  6. Step 6: Final answer
    x = 490,599,383.83

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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.