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Finding the Fourth Proportional to 647,930.80, 971,896.20 and 310,914.10

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Solution

The fourth proportional to 647,930.80, 971,896.20 and 310,914.10 is: 466,371.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,930.80 : 971,896.20 = 310,914.10 : x
  2. Step 2: Convert to fraction form
    647,930.80/971,896.20 = 310,914.10/x
  3. Step 3: Cross multiply
    647,930.80x = 971,896.20 × 310,914.10
  4. Step 4: Simplify right side
    647,930.80x = 302,176,232,316.42
  5. Step 5: Solve for x
    x = 302,176,232,316.42/647,930.80
  6. Step 6: Final answer
    x = 466,371.15

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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.