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Finding the Fourth Proportional to 434,310.30, 651,161.70 and 256,725.90

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Solution

The fourth proportional to 434,310.30, 651,161.70 and 256,725.90 is: 384,909.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,310.30 : 651,161.70 = 256,725.90 : x
  2. Step 2: Convert to fraction form
    434,310.30/651,161.70 = 256,725.90/x
  3. Step 3: Cross multiply
    434,310.30x = 651,161.70 × 256,725.90
  4. Step 4: Simplify right side
    434,310.30x = 167,170,073,478.03
  5. Step 5: Solve for x
    x = 167,170,073,478.03/434,310.30
  6. Step 6: Final answer
    x = 384,909.30

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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.