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Finding the Fourth Proportional to 307,027.20, 423,920.64 and 264,512.64

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Solution

The fourth proportional to 307,027.20, 423,920.64 and 264,512.64 is: 365,219.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,027.20 : 423,920.64 = 264,512.64 : x
  2. Step 2: Convert to fraction form
    307,027.20/423,920.64 = 264,512.64/x
  3. Step 3: Cross multiply
    307,027.20x = 423,920.64 × 264,512.64
  4. Step 4: Simplify right side
    307,027.20x = 112,132,367,636.89
  5. Step 5: Solve for x
    x = 112,132,367,636.89/307,027.20
  6. Step 6: Final answer
    x = 365,219.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.