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Finding the Fourth Proportional to 391,821.78, 540,720.14 and 219,777.93

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Solution

The fourth proportional to 391,821.78, 540,720.14 and 219,777.93 is: 303,296.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,821.78 : 540,720.14 = 219,777.93 : x
  2. Step 2: Convert to fraction form
    391,821.78/540,720.14 = 219,777.93/x
  3. Step 3: Cross multiply
    391,821.78x = 540,720.14 × 219,777.93
  4. Step 4: Simplify right side
    391,821.78x = 118,838,355,663.83
  5. Step 5: Solve for x
    x = 118,838,355,663.83/391,821.78
  6. Step 6: Final answer
    x = 303,296.96

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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.