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Finding the Fourth Proportional to 512,954.02, 707,913.20 and 283,506.37

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Solution

The fourth proportional to 512,954.02, 707,913.20 and 283,506.37 is: 391,259.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,954.02 : 707,913.20 = 283,506.37 : x
  2. Step 2: Convert to fraction form
    512,954.02/707,913.20 = 283,506.37/x
  3. Step 3: Cross multiply
    512,954.02x = 707,913.20 × 283,506.37
  4. Step 4: Simplify right side
    512,954.02x = 200,697,902,933.36
  5. Step 5: Solve for x
    x = 200,697,902,933.36/512,954.02
  6. Step 6: Final answer
    x = 391,259.05

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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.