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Finding the Fourth Proportional to 301,717.51, 452,576.25 and 77,078.43

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Solution

The fourth proportional to 301,717.51, 452,576.25 and 77,078.43 is: 115,617.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,717.51 : 452,576.25 = 77,078.43 : x
  2. Step 2: Convert to fraction form
    301,717.51/452,576.25 = 77,078.43/x
  3. Step 3: Cross multiply
    301,717.51x = 452,576.25 × 77,078.43
  4. Step 4: Simplify right side
    301,717.51x = 34,883,866,805.29
  5. Step 5: Solve for x
    x = 34,883,866,805.29/301,717.51
  6. Step 6: Final answer
    x = 115,617.64

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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.