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Finding the Fourth Proportional to 647,518.30, 971,714.85 and 422,330.20

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Solution

The fourth proportional to 647,518.30, 971,714.85 and 422,330.20 is: 633,780.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,518.30 : 971,714.85 = 422,330.20 : x
  2. Step 2: Convert to fraction form
    647,518.30/971,714.85 = 422,330.20/x
  3. Step 3: Cross multiply
    647,518.30x = 971,714.85 × 422,330.20
  4. Step 4: Simplify right side
    647,518.30x = 410,384,526,943.47
  5. Step 5: Solve for x
    x = 410,384,526,943.47/647,518.30
  6. Step 6: Final answer
    x = 633,780.58

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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.