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Finding the Fourth Proportional to 301,919.83, 452,876.52 and 77,278.48

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Solution

The fourth proportional to 301,919.83, 452,876.52 and 77,278.48 is: 115,916.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,919.83 : 452,876.52 = 77,278.48 : x
  2. Step 2: Convert to fraction form
    301,919.83/452,876.52 = 77,278.48/x
  3. Step 3: Cross multiply
    301,919.83x = 452,876.52 × 77,278.48
  4. Step 4: Simplify right side
    301,919.83x = 34,997,609,093.29
  5. Step 5: Solve for x
    x = 34,997,609,093.29/301,919.83
  6. Step 6: Final answer
    x = 115,916.89

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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.