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Finding the Fourth Proportional to 394,990.47, 592,345.59 and 142,203.09

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Solution

The fourth proportional to 394,990.47, 592,345.59 and 142,203.09 is: 213,254.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,990.47 : 592,345.59 = 142,203.09 : x
  2. Step 2: Convert to fraction form
    394,990.47/592,345.59 = 142,203.09/x
  3. Step 3: Cross multiply
    394,990.47x = 592,345.59 × 142,203.09
  4. Step 4: Simplify right side
    394,990.47x = 84,233,373,245.87
  5. Step 5: Solve for x
    x = 84,233,373,245.87/394,990.47
  6. Step 6: Final answer
    x = 213,254.19

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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.