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Finding the Fourth Proportional to 265,911, 398,642.78 and 123,684.02

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Solution

The fourth proportional to 265,911, 398,642.78 and 123,684.02 is: 185,421.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,911 : 398,642.78 = 123,684.02 : x
  2. Step 2: Convert to fraction form
    265,911/398,642.78 = 123,684.02/x
  3. Step 3: Cross multiply
    265,911x = 398,642.78 × 123,684.02
  4. Step 4: Simplify right side
    265,911x = 49,305,738,962.74
  5. Step 5: Solve for x
    x = 49,305,738,962.74/265,911
  6. Step 6: Final answer
    x = 185,421.96

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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.