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Finding the Fourth Proportional to 647,673.40, 971,996.10 and 331,967.80

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Solution

The fourth proportional to 647,673.40, 971,996.10 and 331,967.80 is: 498,200.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,673.40 : 971,996.10 = 331,967.80 : x
  2. Step 2: Convert to fraction form
    647,673.40/971,996.10 = 331,967.80/x
  3. Step 3: Cross multiply
    647,673.40x = 971,996.10 × 331,967.80
  4. Step 4: Simplify right side
    647,673.40x = 322,671,406,925.58
  5. Step 5: Solve for x
    x = 322,671,406,925.58/647,673.40
  6. Step 6: Final answer
    x = 498,200.80

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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.