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Finding the Fourth Proportional to 265,523.76, 398,285.68 and 154,638

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Solution

The fourth proportional to 265,523.76, 398,285.68 and 154,638 is: 231,957.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,523.76 : 398,285.68 = 154,638 : x
  2. Step 2: Convert to fraction form
    265,523.76/398,285.68 = 154,638/x
  3. Step 3: Cross multiply
    265,523.76x = 398,285.68 × 154,638
  4. Step 4: Simplify right side
    265,523.76x = 61,590,100,983.84
  5. Step 5: Solve for x
    x = 61,590,100,983.84/265,523.76
  6. Step 6: Final answer
    x = 231,957.02

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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.