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Finding the Fourth Proportional to 625,732.32, 863,284.32 and 410,988.80

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Solution

The fourth proportional to 625,732.32, 863,284.32 and 410,988.80 is: 567,015.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,732.32 : 863,284.32 = 410,988.80 : x
  2. Step 2: Convert to fraction form
    625,732.32/863,284.32 = 410,988.80/x
  3. Step 3: Cross multiply
    625,732.32x = 863,284.32 × 410,988.80
  4. Step 4: Simplify right side
    625,732.32x = 354,800,186,735.62
  5. Step 5: Solve for x
    x = 354,800,186,735.62/625,732.32
  6. Step 6: Final answer
    x = 567,015.92

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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.