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Finding the Fourth Proportional to 647,760.20, 971,640.30 and 512,457.80

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Solution

The fourth proportional to 647,760.20, 971,640.30 and 512,457.80 is: 768,686.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,760.20 : 971,640.30 = 512,457.80 : x
  2. Step 2: Convert to fraction form
    647,760.20/971,640.30 = 512,457.80/x
  3. Step 3: Cross multiply
    647,760.20x = 971,640.30 × 512,457.80
  4. Step 4: Simplify right side
    647,760.20x = 497,924,650,529.34
  5. Step 5: Solve for x
    x = 497,924,650,529.34/647,760.20
  6. Step 6: Final answer
    x = 768,686.70

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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.