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Finding the Fourth Proportional to 301,788.70, 452,682.96 and 77,149.60

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Solution

The fourth proportional to 301,788.70, 452,682.96 and 77,149.60 is: 115,724.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,788.70 : 452,682.96 = 77,149.60 : x
  2. Step 2: Convert to fraction form
    301,788.70/452,682.96 = 77,149.60/x
  3. Step 3: Cross multiply
    301,788.70x = 452,682.96 × 77,149.60
  4. Step 4: Simplify right side
    301,788.70x = 34,924,309,290.82
  5. Step 5: Solve for x
    x = 34,924,309,290.82/301,788.70
  6. Step 6: Final answer
    x = 115,724.38

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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.