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Finding the Fourth Proportional to 647,086.20, 971,205.30 and 380,513.40

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Solution

The fourth proportional to 647,086.20, 971,205.30 and 380,513.40 is: 571,108.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,086.20 : 971,205.30 = 380,513.40 : x
  2. Step 2: Convert to fraction form
    647,086.20/971,205.30 = 380,513.40/x
  3. Step 3: Cross multiply
    647,086.20x = 971,205.30 × 380,513.40
  4. Step 4: Simplify right side
    647,086.20x = 369,556,630,801.02
  5. Step 5: Solve for x
    x = 369,556,630,801.02/647,086.20
  6. Step 6: Final answer
    x = 571,108.81

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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.