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Finding the Fourth Proportional to 394,745.68, 592,351.80 and 145,602.64

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Solution

The fourth proportional to 394,745.68, 592,351.80 and 145,602.64 is: 218,490.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,745.68 : 592,351.80 = 145,602.64 : x
  2. Step 2: Convert to fraction form
    394,745.68/592,351.80 = 145,602.64/x
  3. Step 3: Cross multiply
    394,745.68x = 592,351.80 × 145,602.64
  4. Step 4: Simplify right side
    394,745.68x = 86,247,985,888.75
  5. Step 5: Solve for x
    x = 86,247,985,888.75/394,745.68
  6. Step 6: Final answer
    x = 218,490.01

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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.