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Finding the Fourth Proportional to 329,004.78, 493,509.60 and 79,686.78

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Solution

The fourth proportional to 329,004.78, 493,509.60 and 79,686.78 is: 119,530.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,004.78 : 493,509.60 = 79,686.78 : x
  2. Step 2: Convert to fraction form
    329,004.78/493,509.60 = 79,686.78/x
  3. Step 3: Cross multiply
    329,004.78x = 493,509.60 × 79,686.78
  4. Step 4: Simplify right side
    329,004.78x = 39,326,190,923.09
  5. Step 5: Solve for x
    x = 39,326,190,923.09/329,004.78
  6. Step 6: Final answer
    x = 119,530.76

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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.