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Finding the Fourth Proportional to 387,020.58, 534,101.64 and 214,941.24

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Solution

The fourth proportional to 387,020.58, 534,101.64 and 214,941.24 is: 296,626.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,020.58 : 534,101.64 = 214,941.24 : x
  2. Step 2: Convert to fraction form
    387,020.58/534,101.64 = 214,941.24/x
  3. Step 3: Cross multiply
    387,020.58x = 534,101.64 × 214,941.24
  4. Step 4: Simplify right side
    387,020.58x = 114,800,468,787.63
  5. Step 5: Solve for x
    x = 114,800,468,787.63/387,020.58
  6. Step 6: Final answer
    x = 296,626.26

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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.