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Finding the Fourth Proportional to 515,102.19, 710,864.01 and 285,644.04

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Solution

The fourth proportional to 515,102.19, 710,864.01 and 285,644.04 is: 394,201.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,102.19 : 710,864.01 = 285,644.04 : x
  2. Step 2: Convert to fraction form
    515,102.19/710,864.01 = 285,644.04/x
  3. Step 3: Cross multiply
    515,102.19x = 710,864.01 × 285,644.04
  4. Step 4: Simplify right side
    515,102.19x = 203,054,067,707.00
  5. Step 5: Solve for x
    x = 203,054,067,707.00/515,102.19
  6. Step 6: Final answer
    x = 394,201.52

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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.