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Finding the Fourth Proportional to 395,411.73, 592,994.94 and 142,659.36

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Solution

The fourth proportional to 395,411.73, 592,994.94 and 142,659.36 is: 213,944.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,411.73 : 592,994.94 = 142,659.36 : x
  2. Step 2: Convert to fraction form
    395,411.73/592,994.94 = 142,659.36/x
  3. Step 3: Cross multiply
    395,411.73x = 592,994.94 × 142,659.36
  4. Step 4: Simplify right side
    395,411.73x = 84,596,278,623.64
  5. Step 5: Solve for x
    x = 84,596,278,623.64/395,411.73
  6. Step 6: Final answer
    x = 213,944.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.