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Finding the Fourth Proportional to 715,446.48, 987,100.84 and 428,862

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Solution

The fourth proportional to 715,446.48, 987,100.84 and 428,862 is: 591,700.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,446.48 : 987,100.84 = 428,862 : x
  2. Step 2: Convert to fraction form
    715,446.48/987,100.84 = 428,862/x
  3. Step 3: Cross multiply
    715,446.48x = 987,100.84 × 428,862
  4. Step 4: Simplify right side
    715,446.48x = 423,330,040,444.08
  5. Step 5: Solve for x
    x = 423,330,040,444.08/715,446.48
  6. Step 6: Final answer
    x = 591,700.50

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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.