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Finding the Fourth Proportional to 703,684, 971,145.36 and 385,793.44

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Solution

The fourth proportional to 703,684, 971,145.36 and 385,793.44 is: 532,428.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,684 : 971,145.36 = 385,793.44 : x
  2. Step 2: Convert to fraction form
    703,684/971,145.36 = 385,793.44/x
  3. Step 3: Cross multiply
    703,684x = 971,145.36 × 385,793.44
  4. Step 4: Simplify right side
    703,684x = 374,661,509,174.44
  5. Step 5: Solve for x
    x = 374,661,509,174.44/703,684
  6. Step 6: Final answer
    x = 532,428.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.