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Finding the Fourth Proportional to 470,542.16, 649,404.14 and 279,556.31

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Solution

The fourth proportional to 470,542.16, 649,404.14 and 279,556.31 is: 385,820.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,542.16 : 649,404.14 = 279,556.31 : x
  2. Step 2: Convert to fraction form
    470,542.16/649,404.14 = 279,556.31/x
  3. Step 3: Cross multiply
    470,542.16x = 649,404.14 × 279,556.31
  4. Step 4: Simplify right side
    470,542.16x = 181,545,025,302.85
  5. Step 5: Solve for x
    x = 181,545,025,302.85/470,542.16
  6. Step 6: Final answer
    x = 385,820.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.