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Finding the Fourth Proportional to 647,175.20, 971,338.80 and 380,602.40

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Solution

The fourth proportional to 647,175.20, 971,338.80 and 380,602.40 is: 571,242.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,175.20 : 971,338.80 = 380,602.40 : x
  2. Step 2: Convert to fraction form
    647,175.20/971,338.80 = 380,602.40/x
  3. Step 3: Cross multiply
    647,175.20x = 971,338.80 × 380,602.40
  4. Step 4: Simplify right side
    647,175.20x = 369,693,878,493.12
  5. Step 5: Solve for x
    x = 369,693,878,493.12/647,175.20
  6. Step 6: Final answer
    x = 571,242.34

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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.