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Finding the Fourth Proportional to 390,223.44, 585,267.12 and 109,674

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Solution

The fourth proportional to 390,223.44, 585,267.12 and 109,674 is: 164,491.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,223.44 : 585,267.12 = 109,674 : x
  2. Step 2: Convert to fraction form
    390,223.44/585,267.12 = 109,674/x
  3. Step 3: Cross multiply
    390,223.44x = 585,267.12 × 109,674
  4. Step 4: Simplify right side
    390,223.44x = 64,188,586,118.88
  5. Step 5: Solve for x
    x = 64,188,586,118.88/390,223.44
  6. Step 6: Final answer
    x = 164,491.88

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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.