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Finding the Fourth Proportional to 391,798,932.96, 540,666,317.01 and 213,183,556.47

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Solution

The fourth proportional to 391,798,932.96, 540,666,317.01 and 213,183,556.47 is: 294,184,487.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,798,932.96 : 540,666,317.01 = 213,183,556.47 : x
  2. Step 2: Convert to fraction form
    391,798,932.96/540,666,317.01 = 213,183,556.47/x
  3. Step 3: Cross multiply
    391,798,932.96x = 540,666,317.01 × 213,183,556.47
  4. Step 4: Simplify right side
    391,798,932.96x = 115,261,168,323,728,256
  5. Step 5: Solve for x
    x = 115,261,168,323,728,256/391,798,932.96
  6. Step 6: Final answer
    x = 294,184,487.57

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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.