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Finding the Fourth Proportional to 647,999.40, 971,999.10 and 412,386.60

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Solution

The fourth proportional to 647,999.40, 971,999.10 and 412,386.60 is: 618,579.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,999.40 : 971,999.10 = 412,386.60 : x
  2. Step 2: Convert to fraction form
    647,999.40/971,999.10 = 412,386.60/x
  3. Step 3: Cross multiply
    647,999.40x = 971,999.10 × 412,386.60
  4. Step 4: Simplify right side
    647,999.40x = 400,839,404,052.06
  5. Step 5: Solve for x
    x = 400,839,404,052.06/647,999.40
  6. Step 6: Final answer
    x = 618,579.90

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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.