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Finding the Fourth Proportional to 647,978.20, 971,967.30 and 448,523.80

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Solution

The fourth proportional to 647,978.20, 971,967.30 and 448,523.80 is: 672,785.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,978.20 : 971,967.30 = 448,523.80 : x
  2. Step 2: Convert to fraction form
    647,978.20/971,967.30 = 448,523.80/x
  3. Step 3: Cross multiply
    647,978.20x = 971,967.30 × 448,523.80
  4. Step 4: Simplify right side
    647,978.20x = 435,950,466,871.74
  5. Step 5: Solve for x
    x = 435,950,466,871.74/647,978.20
  6. Step 6: Final answer
    x = 672,785.70

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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.