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Finding the Fourth Proportional to 390,039.20, 585,015.60 and 109,584.80

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Solution

The fourth proportional to 390,039.20, 585,015.60 and 109,584.80 is: 164,365.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,039.20 : 585,015.60 = 109,584.80 : x
  2. Step 2: Convert to fraction form
    390,039.20/585,015.60 = 109,584.80/x
  3. Step 3: Cross multiply
    390,039.20x = 585,015.60 × 109,584.80
  4. Step 4: Simplify right side
    390,039.20x = 64,108,817,522.88
  5. Step 5: Solve for x
    x = 64,108,817,522.88/390,039.20
  6. Step 6: Final answer
    x = 164,365.06

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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.