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Finding the Fourth Proportional to 499,452, 749,178.72 and 203,964

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Solution

The fourth proportional to 499,452, 749,178.72 and 203,964 is: 305,946.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,452 : 749,178.72 = 203,964 : x
  2. Step 2: Convert to fraction form
    499,452/749,178.72 = 203,964/x
  3. Step 3: Cross multiply
    499,452x = 749,178.72 × 203,964
  4. Step 4: Simplify right side
    499,452x = 152,805,488,446.08
  5. Step 5: Solve for x
    x = 152,805,488,446.08/499,452
  6. Step 6: Final answer
    x = 305,946.29

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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.