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Finding the Fourth Proportional to 390,132.39, 585,198.57 and 109,649.64

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Solution

The fourth proportional to 390,132.39, 585,198.57 and 109,649.64 is: 164,474.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,132.39 : 585,198.57 = 109,649.64 : x
  2. Step 2: Convert to fraction form
    390,132.39/585,198.57 = 109,649.64/x
  3. Step 3: Cross multiply
    390,132.39x = 585,198.57 × 109,649.64
  4. Step 4: Simplify right side
    390,132.39x = 64,166,812,529.01
  5. Step 5: Solve for x
    x = 64,166,812,529.01/390,132.39
  6. Step 6: Final answer
    x = 164,474.46

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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.