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Finding the Fourth Proportional to 647,365.80, 971,340.30 and 310,276.20

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Solution

The fourth proportional to 647,365.80, 971,340.30 and 310,276.20 is: 465,554.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,365.80 : 971,340.30 = 310,276.20 : x
  2. Step 2: Convert to fraction form
    647,365.80/971,340.30 = 310,276.20/x
  3. Step 3: Cross multiply
    647,365.80x = 971,340.30 × 310,276.20
  4. Step 4: Simplify right side
    647,365.80x = 301,383,777,190.86
  5. Step 5: Solve for x
    x = 301,383,777,190.86/647,365.80
  6. Step 6: Final answer
    x = 465,554.06

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1.5x scale

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.