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Finding the Fourth Proportional to 647,630.60, 971,445.90 and 411,434.60

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Solution

The fourth proportional to 647,630.60, 971,445.90 and 411,434.60 is: 617,151.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,630.60 : 971,445.90 = 411,434.60 : x
  2. Step 2: Convert to fraction form
    647,630.60/971,445.90 = 411,434.60/x
  3. Step 3: Cross multiply
    647,630.60x = 971,445.90 × 411,434.60
  4. Step 4: Simplify right side
    647,630.60x = 399,686,455,288.14
  5. Step 5: Solve for x
    x = 399,686,455,288.14/647,630.60
  6. Step 6: Final answer
    x = 617,151.90

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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.