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Finding the Fourth Proportional to 647,390.80, 971,377.80 and 310,301.20

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Solution

The fourth proportional to 647,390.80, 971,377.80 and 310,301.20 is: 465,591.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,390.80 : 971,377.80 = 310,301.20 : x
  2. Step 2: Convert to fraction form
    647,390.80/971,377.80 = 310,301.20/x
  3. Step 3: Cross multiply
    647,390.80x = 971,377.80 × 310,301.20
  4. Step 4: Simplify right side
    647,390.80x = 301,419,696,993.36
  5. Step 5: Solve for x
    x = 301,419,696,993.36/647,390.80
  6. Step 6: Final answer
    x = 465,591.57

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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.