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Finding the Fourth Proportional to 384,316.32, 530,361.77 and 212,245.89

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Solution

The fourth proportional to 384,316.32, 530,361.77 and 212,245.89 is: 292,902.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,316.32 : 530,361.77 = 212,245.89 : x
  2. Step 2: Convert to fraction form
    384,316.32/530,361.77 = 212,245.89/x
  3. Step 3: Cross multiply
    384,316.32x = 530,361.77 × 212,245.89
  4. Step 4: Simplify right side
    384,316.32x = 112,567,104,834.40
  5. Step 5: Solve for x
    x = 112,567,104,834.40/384,316.32
  6. Step 6: Final answer
    x = 292,902.22

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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.