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Finding the Fourth Proportional to 390,636, 585,953.46 and 256,546.58

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Solution

The fourth proportional to 390,636, 585,953.46 and 256,546.58 is: 384,819.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,636 : 585,953.46 = 256,546.58 : x
  2. Step 2: Convert to fraction form
    390,636/585,953.46 = 256,546.58/x
  3. Step 3: Cross multiply
    390,636x = 585,953.46 × 256,546.58
  4. Step 4: Simplify right side
    390,636x = 150,324,353,272.40
  5. Step 5: Solve for x
    x = 150,324,353,272.40/390,636
  6. Step 6: Final answer
    x = 384,819.51

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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.