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Finding the Fourth Proportional to 321,429.21, 480,724.70 and 194,719.29

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Solution

The fourth proportional to 321,429.21, 480,724.70 and 194,719.29 is: 291,219.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,429.21 : 480,724.70 = 194,719.29 : x
  2. Step 2: Convert to fraction form
    321,429.21/480,724.70 = 194,719.29/x
  3. Step 3: Cross multiply
    321,429.21x = 480,724.70 × 194,719.29
  4. Step 4: Simplify right side
    321,429.21x = 93,606,371,295.87
  5. Step 5: Solve for x
    x = 93,606,371,295.87/321,429.21
  6. Step 6: Final answer
    x = 291,219.24

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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.