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Finding the Fourth Proportional to 434,274.32, 651,197.64 and 206,506.64

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Solution

The fourth proportional to 434,274.32, 651,197.64 and 206,506.64 is: 309,658.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,274.32 : 651,197.64 = 206,506.64 : x
  2. Step 2: Convert to fraction form
    434,274.32/651,197.64 = 206,506.64/x
  3. Step 3: Cross multiply
    434,274.32x = 651,197.64 × 206,506.64
  4. Step 4: Simplify right side
    434,274.32x = 134,476,636,612.33
  5. Step 5: Solve for x
    x = 134,476,636,612.33/434,274.32
  6. Step 6: Final answer
    x = 309,658.27

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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.