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Finding the Fourth Proportional to 301,785.42, 452,676.36 and 77,145.54

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Solution

The fourth proportional to 301,785.42, 452,676.36 and 77,145.54 is: 115,717.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,785.42 : 452,676.36 = 77,145.54 : x
  2. Step 2: Convert to fraction form
    301,785.42/452,676.36 = 77,145.54/x
  3. Step 3: Cross multiply
    301,785.42x = 452,676.36 × 77,145.54
  4. Step 4: Simplify right side
    301,785.42x = 34,921,962,237.43
  5. Step 5: Solve for x
    x = 34,921,962,237.43/301,785.42
  6. Step 6: Final answer
    x = 115,717.86

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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.