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Finding the Fourth Proportional to 311,931.90, 467,897.90 and 75,274.58

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Solution

The fourth proportional to 311,931.90, 467,897.90 and 75,274.58 is: 112,911.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,931.90 : 467,897.90 = 75,274.58 : x
  2. Step 2: Convert to fraction form
    311,931.90/467,897.90 = 75,274.58/x
  3. Step 3: Cross multiply
    311,931.90x = 467,897.90 × 75,274.58
  4. Step 4: Simplify right side
    311,931.90x = 35,220,818,698.75
  5. Step 5: Solve for x
    x = 35,220,818,698.75/311,931.90
  6. Step 6: Final answer
    x = 112,911.88

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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.