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Finding the Fourth Proportional to 265,765.87, 398,423.01 and 123,693.64

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Solution

The fourth proportional to 265,765.87, 398,423.01 and 123,693.64 is: 185,435.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,765.87 : 398,423.01 = 123,693.64 : x
  2. Step 2: Convert to fraction form
    265,765.87/398,423.01 = 123,693.64/x
  3. Step 3: Cross multiply
    265,765.87x = 398,423.01 × 123,693.64
  4. Step 4: Simplify right side
    265,765.87x = 49,282,393,362.71
  5. Step 5: Solve for x
    x = 49,282,393,362.71/265,765.87
  6. Step 6: Final answer
    x = 185,435.38

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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.