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Finding the Fourth Proportional to 647,968.60, 971,164.90 and 458,483.57

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Solution

The fourth proportional to 647,968.60, 971,164.90 and 458,483.57 is: 687,167.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,968.60 : 971,164.90 = 458,483.57 : x
  2. Step 2: Convert to fraction form
    647,968.60/971,164.90 = 458,483.57/x
  3. Step 3: Cross multiply
    647,968.60x = 971,164.90 × 458,483.57
  4. Step 4: Simplify right side
    647,968.60x = 445,263,150,410.69
  5. Step 5: Solve for x
    x = 445,263,150,410.69/647,968.60
  6. Step 6: Final answer
    x = 687,167.79

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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.