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Finding the Fourth Proportional to 301,738, 452,607 and 77,098.94

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Solution

The fourth proportional to 301,738, 452,607 and 77,098.94 is: 115,648.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,738 : 452,607 = 77,098.94 : x
  2. Step 2: Convert to fraction form
    301,738/452,607 = 77,098.94/x
  3. Step 3: Cross multiply
    301,738x = 452,607 × 77,098.94
  4. Step 4: Simplify right side
    301,738x = 34,895,519,936.58
  5. Step 5: Solve for x
    x = 34,895,519,936.58/301,738
  6. Step 6: Final answer
    x = 115,648.41

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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.