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Finding the Fourth Proportional to 703,712.81, 971,118.21 and 381,414.62

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Solution

The fourth proportional to 703,712.81, 971,118.21 and 381,414.62 is: 526,349.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,712.81 : 971,118.21 = 381,414.62 : x
  2. Step 2: Convert to fraction form
    703,712.81/971,118.21 = 381,414.62/x
  3. Step 3: Cross multiply
    703,712.81x = 971,118.21 × 381,414.62
  4. Step 4: Simplify right side
    703,712.81x = 370,398,686,900.33
  5. Step 5: Solve for x
    x = 370,398,686,900.33/703,712.81
  6. Step 6: Final answer
    x = 526,349.22

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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.