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Finding the Fourth Proportional to 475,419.17, 713,361.13 and 209,146.46

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Solution

The fourth proportional to 475,419.17, 713,361.13 and 209,146.46 is: 313,821.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,419.17 : 713,361.13 = 209,146.46 : x
  2. Step 2: Convert to fraction form
    475,419.17/713,361.13 = 209,146.46/x
  3. Step 3: Cross multiply
    475,419.17x = 713,361.13 × 209,146.46
  4. Step 4: Simplify right side
    475,419.17x = 149,196,950,951.43
  5. Step 5: Solve for x
    x = 149,196,950,951.43/475,419.17
  6. Step 6: Final answer
    x = 313,821.91

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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.