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Finding the Fourth Proportional to 301,908, 452,877.39 and 77,270.28

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Solution

The fourth proportional to 301,908, 452,877.39 and 77,270.28 is: 115,909.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,908 : 452,877.39 = 77,270.28 : x
  2. Step 2: Convert to fraction form
    301,908/452,877.39 = 77,270.28/x
  3. Step 3: Cross multiply
    301,908x = 452,877.39 × 77,270.28
  4. Step 4: Simplify right side
    301,908x = 34,993,962,730.97
  5. Step 5: Solve for x
    x = 34,993,962,730.97/301,908
  6. Step 6: Final answer
    x = 115,909.36

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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.