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Finding the Fourth Proportional to 384,336.81, 530,385.70 and 212,251.64

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Solution

The fourth proportional to 384,336.81, 530,385.70 and 212,251.64 is: 292,907.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,336.81 : 530,385.70 = 212,251.64 : x
  2. Step 2: Convert to fraction form
    384,336.81/530,385.70 = 212,251.64/x
  3. Step 3: Cross multiply
    384,336.81x = 530,385.70 × 212,251.64
  4. Step 4: Simplify right side
    384,336.81x = 112,575,230,944.36
  5. Step 5: Solve for x
    x = 112,575,230,944.36/384,336.81
  6. Step 6: Final answer
    x = 292,907.75

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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.