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Finding the Fourth Proportional to 439,892.96, 659,904.40 and 159,344.80

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Solution

The fourth proportional to 439,892.96, 659,904.40 and 159,344.80 is: 239,040.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,892.96 : 659,904.40 = 159,344.80 : x
  2. Step 2: Convert to fraction form
    439,892.96/659,904.40 = 159,344.80/x
  3. Step 3: Cross multiply
    439,892.96x = 659,904.40 × 159,344.80
  4. Step 4: Simplify right side
    439,892.96x = 105,152,334,637.12
  5. Step 5: Solve for x
    x = 105,152,334,637.12/439,892.96
  6. Step 6: Final answer
    x = 239,040.73

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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.