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Finding the Fourth Proportional to 390,055.20, 585,039.60 and 109,600.80

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Solution

The fourth proportional to 390,055.20, 585,039.60 and 109,600.80 is: 164,389.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,055.20 : 585,039.60 = 109,600.80 : x
  2. Step 2: Convert to fraction form
    390,055.20/585,039.60 = 109,600.80/x
  3. Step 3: Cross multiply
    390,055.20x = 585,039.60 × 109,600.80
  4. Step 4: Simplify right side
    390,055.20x = 64,120,808,191.68
  5. Step 5: Solve for x
    x = 64,120,808,191.68/390,055.20
  6. Step 6: Final answer
    x = 164,389.06

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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.