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Finding the Fourth Proportional to 321,890.76, 482,674.14 and 111,472.20

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Solution

The fourth proportional to 321,890.76, 482,674.14 and 111,472.20 is: 167,152.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,890.76 : 482,674.14 = 111,472.20 : x
  2. Step 2: Convert to fraction form
    321,890.76/482,674.14 = 111,472.20/x
  3. Step 3: Cross multiply
    321,890.76x = 482,674.14 × 111,472.20
  4. Step 4: Simplify right side
    321,890.76x = 53,804,748,268.91
  5. Step 5: Solve for x
    x = 53,804,748,268.91/321,890.76
  6. Step 6: Final answer
    x = 167,152.20

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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.