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Finding the Fourth Proportional to 384,458.48, 530,553.84 and 214,699.04

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Solution

The fourth proportional to 384,458.48, 530,553.84 and 214,699.04 is: 296,285.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,458.48 : 530,553.84 = 214,699.04 : x
  2. Step 2: Convert to fraction form
    384,458.48/530,553.84 = 214,699.04/x
  3. Step 3: Cross multiply
    384,458.48x = 530,553.84 × 214,699.04
  4. Step 4: Simplify right side
    384,458.48x = 113,909,400,116.31
  5. Step 5: Solve for x
    x = 113,909,400,116.31/384,458.48
  6. Step 6: Final answer
    x = 296,285.31

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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.