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Finding the Fourth Proportional to 301,857.49, 452,801.74 and 77,219.87

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Solution

The fourth proportional to 301,857.49, 452,801.74 and 77,219.87 is: 115,833.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,857.49 : 452,801.74 = 77,219.87 : x
  2. Step 2: Convert to fraction form
    301,857.49/452,801.74 = 77,219.87/x
  3. Step 3: Cross multiply
    301,857.49x = 452,801.74 × 77,219.87
  4. Step 4: Simplify right side
    301,857.49x = 34,965,291,498.57
  5. Step 5: Solve for x
    x = 34,965,291,498.57/301,857.49
  6. Step 6: Final answer
    x = 115,833.77

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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.