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Finding the Fourth Proportional to 647,461.68, 971,281.15 and 220,882.97

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Solution

The fourth proportional to 647,461.68, 971,281.15 and 220,882.97 is: 331,354.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,461.68 : 971,281.15 = 220,882.97 : x
  2. Step 2: Convert to fraction form
    647,461.68/971,281.15 = 220,882.97/x
  3. Step 3: Cross multiply
    647,461.68x = 971,281.15 × 220,882.97
  4. Step 4: Simplify right side
    647,461.68x = 214,539,465,117.02
  5. Step 5: Solve for x
    x = 214,539,465,117.02/647,461.68
  6. Step 6: Final answer
    x = 331,354.69

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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.