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Finding the Fourth Proportional to 715,455.96, 987,113.94 and 428,871.48

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Solution

The fourth proportional to 715,455.96, 987,113.94 and 428,871.48 is: 591,713.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,455.96 : 987,113.94 = 428,871.48 : x
  2. Step 2: Convert to fraction form
    715,455.96/987,113.94 = 428,871.48/x
  3. Step 3: Cross multiply
    715,455.96x = 987,113.94 × 428,871.48
  4. Step 4: Simplify right side
    715,455.96x = 423,345,016,376.43
  5. Step 5: Solve for x
    x = 423,345,016,376.43/715,455.96
  6. Step 6: Final answer
    x = 591,713.59

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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.