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Finding the Fourth Proportional to 647,969.10, 971,165.66 and 458,484.08

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Solution

The fourth proportional to 647,969.10, 971,165.66 and 458,484.08 is: 687,168.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,969.10 : 971,165.66 = 458,484.08 : x
  2. Step 2: Convert to fraction form
    647,969.10/971,165.66 = 458,484.08/x
  3. Step 3: Cross multiply
    647,969.10x = 971,165.66 × 458,484.08
  4. Step 4: Simplify right side
    647,969.10x = 445,263,987,004.44
  5. Step 5: Solve for x
    x = 445,263,987,004.44/647,969.10
  6. Step 6: Final answer
    x = 687,168.55

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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.