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Finding the Fourth Proportional to 331,830.76, 497,636.88 and 107,138.20

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Solution

The fourth proportional to 331,830.76, 497,636.88 and 107,138.20 is: 160,672.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,830.76 : 497,636.88 = 107,138.20 : x
  2. Step 2: Convert to fraction form
    331,830.76/497,636.88 = 107,138.20/x
  3. Step 3: Cross multiply
    331,830.76x = 497,636.88 × 107,138.20
  4. Step 4: Simplify right side
    331,830.76x = 53,315,919,576.82
  5. Step 5: Solve for x
    x = 53,315,919,576.82/331,830.76
  6. Step 6: Final answer
    x = 160,672.02

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1.5x scale

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.