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Finding the Fourth Proportional to 384,336.64, 530,385.46 and 212,251.46

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Solution

The fourth proportional to 384,336.64, 530,385.46 and 212,251.46 is: 292,907.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,336.64 : 530,385.46 = 212,251.46 : x
  2. Step 2: Convert to fraction form
    384,336.64/530,385.46 = 212,251.46/x
  3. Step 3: Cross multiply
    384,336.64x = 530,385.46 × 212,251.46
  4. Step 4: Simplify right side
    384,336.64x = 112,575,089,043.11
  5. Step 5: Solve for x
    x = 112,575,089,043.11/384,336.64
  6. Step 6: Final answer
    x = 292,907.51

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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.