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Finding the Fourth Proportional to 375,371.84, 517,999.20 and 205,607.36

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Solution

The fourth proportional to 375,371.84, 517,999.20 and 205,607.36 is: 283,730.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,371.84 : 517,999.20 = 205,607.36 : x
  2. Step 2: Convert to fraction form
    375,371.84/517,999.20 = 205,607.36/x
  3. Step 3: Cross multiply
    375,371.84x = 517,999.20 × 205,607.36
  4. Step 4: Simplify right side
    375,371.84x = 106,504,447,994.11
  5. Step 5: Solve for x
    x = 106,504,447,994.11/375,371.84
  6. Step 6: Final answer
    x = 283,730.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.