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Finding the Fourth Proportional to 715,447.98, 987,102.90 and 428,863.50

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Solution

The fourth proportional to 715,447.98, 987,102.90 and 428,863.50 is: 591,702.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,447.98 : 987,102.90 = 428,863.50 : x
  2. Step 2: Convert to fraction form
    715,447.98/987,102.90 = 428,863.50/x
  3. Step 3: Cross multiply
    715,447.98x = 987,102.90 × 428,863.50
  4. Step 4: Simplify right side
    715,447.98x = 423,332,404,554.15
  5. Step 5: Solve for x
    x = 423,332,404,554.15/715,447.98
  6. Step 6: Final answer
    x = 591,702.56

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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.