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Finding the Fourth Proportional to 321,638.10, 482,457.15 and 144,491.10

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Solution

The fourth proportional to 321,638.10, 482,457.15 and 144,491.10 is: 216,736.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,638.10 : 482,457.15 = 144,491.10 : x
  2. Step 2: Convert to fraction form
    321,638.10/482,457.15 = 144,491.10/x
  3. Step 3: Cross multiply
    321,638.10x = 482,457.15 × 144,491.10
  4. Step 4: Simplify right side
    321,638.10x = 69,710,764,306.37
  5. Step 5: Solve for x
    x = 69,710,764,306.37/321,638.10
  6. Step 6: Final answer
    x = 216,736.65

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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.