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Finding the Fourth Proportional to 703,714.81, 971,120.97 and 381,416.62

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Solution

The fourth proportional to 703,714.81, 971,120.97 and 381,416.62 is: 526,351.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,714.81 : 971,120.97 = 381,416.62 : x
  2. Step 2: Convert to fraction form
    703,714.81/971,120.97 = 381,416.62/x
  3. Step 3: Cross multiply
    703,714.81x = 971,120.97 × 381,416.62
  4. Step 4: Simplify right side
    703,714.81x = 370,401,677,988.52
  5. Step 5: Solve for x
    x = 370,401,677,988.52/703,714.81
  6. Step 6: Final answer
    x = 526,351.97

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Double scale
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Similar ratio
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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.