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Finding the Fourth Proportional to 301,909.50, 452,879.64 and 77,271.78

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Solution

The fourth proportional to 301,909.50, 452,879.64 and 77,271.78 is: 115,911.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,909.50 : 452,879.64 = 77,271.78 : x
  2. Step 2: Convert to fraction form
    301,909.50/452,879.64 = 77,271.78/x
  3. Step 3: Cross multiply
    301,909.50x = 452,879.64 × 77,271.78
  4. Step 4: Simplify right side
    301,909.50x = 34,994,815,908.56
  5. Step 5: Solve for x
    x = 34,994,815,908.56/301,909.50
  6. Step 6: Final answer
    x = 115,911.61

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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.