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Finding the Fourth Proportional to 499,415.34, 749,311.64 and 299,874.37

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Solution

The fourth proportional to 499,415.34, 749,311.64 and 299,874.37 is: 449,924.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,415.34 : 749,311.64 = 299,874.37 : x
  2. Step 2: Convert to fraction form
    499,415.34/749,311.64 = 299,874.37/x
  3. Step 3: Cross multiply
    499,415.34x = 749,311.64 × 299,874.37
  4. Step 4: Simplify right side
    499,415.34x = 224,699,354,292.11
  5. Step 5: Solve for x
    x = 224,699,354,292.11/499,415.34
  6. Step 6: Final answer
    x = 449,924.82

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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.