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Finding the Fourth Proportional to 475,941, 713,940.66 and 143,517

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Solution

The fourth proportional to 475,941, 713,940.66 and 143,517 is: 215,284.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,941 : 713,940.66 = 143,517 : x
  2. Step 2: Convert to fraction form
    475,941/713,940.66 = 143,517/x
  3. Step 3: Cross multiply
    475,941x = 713,940.66 × 143,517
  4. Step 4: Simplify right side
    475,941x = 102,462,621,701.22
  5. Step 5: Solve for x
    x = 102,462,621,701.22/475,941
  6. Step 6: Final answer
    x = 215,284.29

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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.