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Finding the Fourth Proportional to 499,261.26, 749,078.97 and 259,225.32

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Solution

The fourth proportional to 499,261.26, 749,078.97 and 259,225.32 is: 388,935.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,261.26 : 749,078.97 = 259,225.32 : x
  2. Step 2: Convert to fraction form
    499,261.26/749,078.97 = 259,225.32/x
  3. Step 3: Cross multiply
    499,261.26x = 749,078.97 × 259,225.32
  4. Step 4: Simplify right side
    499,261.26x = 194,180,235,703.52
  5. Step 5: Solve for x
    x = 194,180,235,703.52/499,261.26
  6. Step 6: Final answer
    x = 388,935.12

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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.