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Finding the Fourth Proportional to 647,031.60, 969,818.40 and 310,233.60

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Solution

The fourth proportional to 647,031.60, 969,818.40 and 310,233.60 is: 465,000.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,031.60 : 969,818.40 = 310,233.60 : x
  2. Step 2: Convert to fraction form
    647,031.60/969,818.40 = 310,233.60/x
  3. Step 3: Cross multiply
    647,031.60x = 969,818.40 × 310,233.60
  4. Step 4: Simplify right side
    647,031.60x = 300,870,253,578.24
  5. Step 5: Solve for x
    x = 300,870,253,578.24/647,031.60
  6. Step 6: Final answer
    x = 465,000.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.