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Finding the Fourth Proportional to 669,689, 1,004,530.77 and 243,224

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Solution

The fourth proportional to 669,689, 1,004,530.77 and 243,224 is: 364,835.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,689 : 1,004,530.77 = 243,224 : x
  2. Step 2: Convert to fraction form
    669,689/1,004,530.77 = 243,224/x
  3. Step 3: Cross multiply
    669,689x = 1,004,530.77 × 243,224
  4. Step 4: Simplify right side
    669,689x = 244,325,992,002.48
  5. Step 5: Solve for x
    x = 244,325,992,002.48/669,689
  6. Step 6: Final answer
    x = 364,835.01

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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.