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Finding the Fourth Proportional to 499,384.82, 749,266.32 and 299,844.56

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Solution

The fourth proportional to 499,384.82, 749,266.32 and 299,844.56 is: 449,880.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,384.82 : 749,266.32 = 299,844.56 : x
  2. Step 2: Convert to fraction form
    499,384.82/749,266.32 = 299,844.56/x
  3. Step 3: Cross multiply
    499,384.82x = 749,266.32 × 299,844.56
  4. Step 4: Simplify right side
    499,384.82x = 224,663,430,043.22
  5. Step 5: Solve for x
    x = 224,663,430,043.22/499,384.82
  6. Step 6: Final answer
    x = 449,880.37

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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.