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Finding the Fourth Proportional to 499,647.40, 749,464.62 and 120,564.94

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Solution

The fourth proportional to 499,647.40, 749,464.62 and 120,564.94 is: 180,845.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,647.40 : 749,464.62 = 120,564.94 : x
  2. Step 2: Convert to fraction form
    499,647.40/749,464.62 = 120,564.94/x
  3. Step 3: Cross multiply
    499,647.40x = 749,464.62 × 120,564.94
  4. Step 4: Simplify right side
    499,647.40x = 90,359,156,942.42
  5. Step 5: Solve for x
    x = 90,359,156,942.42/499,647.40
  6. Step 6: Final answer
    x = 180,845.85

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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.