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Finding the Fourth Proportional to 329,146.07, 493,719.15 and 79,828.07

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Solution

The fourth proportional to 329,146.07, 493,719.15 and 79,828.07 is: 119,742.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,146.07 : 493,719.15 = 79,828.07 : x
  2. Step 2: Convert to fraction form
    329,146.07/493,719.15 = 79,828.07/x
  3. Step 3: Cross multiply
    329,146.07x = 493,719.15 × 79,828.07
  4. Step 4: Simplify right side
    329,146.07x = 39,412,646,866.54
  5. Step 5: Solve for x
    x = 39,412,646,866.54/329,146.07
  6. Step 6: Final answer
    x = 119,742.12

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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.