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Finding the Fourth Proportional to 384,900, 531,171.60 and 215,162.40

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Solution

The fourth proportional to 384,900, 531,171.60 and 215,162.40 is: 296,929.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,900 : 531,171.60 = 215,162.40 : x
  2. Step 2: Convert to fraction form
    384,900/531,171.60 = 215,162.40/x
  3. Step 3: Cross multiply
    384,900x = 531,171.60 × 215,162.40
  4. Step 4: Simplify right side
    384,900x = 114,288,156,267.84
  5. Step 5: Solve for x
    x = 114,288,156,267.84/384,900
  6. Step 6: Final answer
    x = 296,929.48

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1.5x scale

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.