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Finding the Fourth Proportional to 384,635.88, 530,818.42 and 214,869.64

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Solution

The fourth proportional to 384,635.88, 530,818.42 and 214,869.64 is: 296,531.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,635.88 : 530,818.42 = 214,869.64 : x
  2. Step 2: Convert to fraction form
    384,635.88/530,818.42 = 214,869.64/x
  3. Step 3: Cross multiply
    384,635.88x = 530,818.42 × 214,869.64
  4. Step 4: Simplify right side
    384,635.88x = 114,056,762,810.77
  5. Step 5: Solve for x
    x = 114,056,762,810.77/384,635.88
  6. Step 6: Final answer
    x = 296,531.78

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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.