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Finding the Fourth Proportional to 384,354.45, 530,398.13 and 214,584.93

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Solution

The fourth proportional to 384,354.45, 530,398.13 and 214,584.93 is: 296,121.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,354.45 : 530,398.13 = 214,584.93 : x
  2. Step 2: Convert to fraction form
    384,354.45/530,398.13 = 214,584.93/x
  3. Step 3: Cross multiply
    384,354.45x = 530,398.13 × 214,584.93
  4. Step 4: Simplify right side
    384,354.45x = 113,815,444,525.26
  5. Step 5: Solve for x
    x = 113,815,444,525.26/384,354.45
  6. Step 6: Final answer
    x = 296,121.05

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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.