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Finding the Fourth Proportional to 647,893.40, 971,840.10 and 412,280.60

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Solution

The fourth proportional to 647,893.40, 971,840.10 and 412,280.60 is: 618,420.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,893.40 : 971,840.10 = 412,280.60 : x
  2. Step 2: Convert to fraction form
    647,893.40/971,840.10 = 412,280.60/x
  3. Step 3: Cross multiply
    647,893.40x = 971,840.10 × 412,280.60
  4. Step 4: Simplify right side
    647,893.40x = 400,670,819,532.06
  5. Step 5: Solve for x
    x = 400,670,819,532.06/647,893.40
  6. Step 6: Final answer
    x = 618,420.90

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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.