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Finding the Fourth Proportional to 647,631.60, 971,447.40 and 411,435.60

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Solution

The fourth proportional to 647,631.60, 971,447.40 and 411,435.60 is: 617,153.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,631.60 : 971,447.40 = 411,435.60 : x
  2. Step 2: Convert to fraction form
    647,631.60/971,447.40 = 411,435.60/x
  3. Step 3: Cross multiply
    647,631.60x = 971,447.40 × 411,435.60
  4. Step 4: Simplify right side
    647,631.60x = 399,688,043,887.44
  5. Step 5: Solve for x
    x = 399,688,043,887.44/647,631.60
  6. Step 6: Final answer
    x = 617,153.40

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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.