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Finding the Fourth Proportional to 265,499.76, 398,249.64 and 154,614

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Solution

The fourth proportional to 265,499.76, 398,249.64 and 154,614 is: 231,921

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,499.76 : 398,249.64 = 154,614 : x
  2. Step 2: Convert to fraction form
    265,499.76/398,249.64 = 154,614/x
  3. Step 3: Cross multiply
    265,499.76x = 398,249.64 × 154,614
  4. Step 4: Simplify right side
    265,499.76x = 61,574,969,838.96
  5. Step 5: Solve for x
    x = 61,574,969,838.96/265,499.76
  6. Step 6: Final answer
    x = 231,921

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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.