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Finding the Fourth Proportional to 311,983.30, 468,026.69 and 109,526.86

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Solution

The fourth proportional to 311,983.30, 468,026.69 and 109,526.86 is: 164,308.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,983.30 : 468,026.69 = 109,526.86 : x
  2. Step 2: Convert to fraction form
    311,983.30/468,026.69 = 109,526.86/x
  3. Step 3: Cross multiply
    311,983.30x = 468,026.69 × 109,526.86
  4. Step 4: Simplify right side
    311,983.30x = 51,261,493,751.89
  5. Step 5: Solve for x
    x = 51,261,493,751.89/311,983.30
  6. Step 6: Final answer
    x = 164,308.45

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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.