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Finding the Fourth Proportional to 387,006.89, 534,051.45 and 214,936.01

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Solution

The fourth proportional to 387,006.89, 534,051.45 and 214,936.01 is: 296,601.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,006.89 : 534,051.45 = 214,936.01 : x
  2. Step 2: Convert to fraction form
    387,006.89/534,051.45 = 214,936.01/x
  3. Step 3: Cross multiply
    387,006.89x = 534,051.45 × 214,936.01
  4. Step 4: Simplify right side
    387,006.89x = 114,786,887,797.72
  5. Step 5: Solve for x
    x = 114,786,887,797.72/387,006.89
  6. Step 6: Final answer
    x = 296,601.66

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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.