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Finding the Fourth Proportional to 715,453.48, 987,110.50 and 428,869

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Solution

The fourth proportional to 715,453.48, 987,110.50 and 428,869 is: 591,710.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,453.48 : 987,110.50 = 428,869 : x
  2. Step 2: Convert to fraction form
    715,453.48/987,110.50 = 428,869/x
  3. Step 3: Cross multiply
    715,453.48x = 987,110.50 × 428,869
  4. Step 4: Simplify right side
    715,453.48x = 423,341,093,024.50
  5. Step 5: Solve for x
    x = 423,341,093,024.50/715,453.48
  6. Step 6: Final answer
    x = 591,710.16

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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.