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Finding the Fourth Proportional to 499,353.90, 749,219.40 and 299,813.39

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Solution

The fourth proportional to 499,353.90, 749,219.40 and 299,813.39 is: 449,833.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,353.90 : 749,219.40 = 299,813.39 : x
  2. Step 2: Convert to fraction form
    499,353.90/749,219.40 = 299,813.39/x
  3. Step 3: Cross multiply
    499,353.90x = 749,219.40 × 299,813.39
  4. Step 4: Simplify right side
    499,353.90x = 224,626,004,421.67
  5. Step 5: Solve for x
    x = 224,626,004,421.67/499,353.90
  6. Step 6: Final answer
    x = 449,833.28

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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.