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Finding the Fourth Proportional to 647,968.35, 971,164.53 and 458,483.31

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Solution

The fourth proportional to 647,968.35, 971,164.53 and 458,483.31 is: 687,167.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,968.35 : 971,164.53 = 458,483.31 : x
  2. Step 2: Convert to fraction form
    647,968.35/971,164.53 = 458,483.31/x
  3. Step 3: Cross multiply
    647,968.35x = 971,164.53 × 458,483.31
  4. Step 4: Simplify right side
    647,968.35x = 445,262,728,268.99
  5. Step 5: Solve for x
    x = 445,262,728,268.99/647,968.35
  6. Step 6: Final answer
    x = 687,167.40

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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.