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Finding the Fourth Proportional to 463,661.34, 639,868.50 and 259,720.98

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Solution

The fourth proportional to 463,661.34, 639,868.50 and 259,720.98 is: 358,423.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,661.34 : 639,868.50 = 259,720.98 : x
  2. Step 2: Convert to fraction form
    463,661.34/639,868.50 = 259,720.98/x
  3. Step 3: Cross multiply
    463,661.34x = 639,868.50 × 259,720.98
  4. Step 4: Simplify right side
    463,661.34x = 166,187,273,891.13
  5. Step 5: Solve for x
    x = 166,187,273,891.13/463,661.34
  6. Step 6: Final answer
    x = 358,423.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.