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Finding the Fourth Proportional to 301,910.50, 452,881.14 and 77,272.78

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Solution

The fourth proportional to 301,910.50, 452,881.14 and 77,272.78 is: 115,913.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,910.50 : 452,881.14 = 77,272.78 : x
  2. Step 2: Convert to fraction form
    301,910.50/452,881.14 = 77,272.78/x
  3. Step 3: Cross multiply
    301,910.50x = 452,881.14 × 77,272.78
  4. Step 4: Simplify right side
    301,910.50x = 34,995,384,697.37
  5. Step 5: Solve for x
    x = 34,995,384,697.37/301,910.50
  6. Step 6: Final answer
    x = 115,913.11

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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.