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Finding the Fourth Proportional to 703,910.81, 971,384.24 and 397,981.91

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Solution

The fourth proportional to 703,910.81, 971,384.24 and 397,981.91 is: 549,207.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,910.81 : 971,384.24 = 397,981.91 : x
  2. Step 2: Convert to fraction form
    703,910.81/971,384.24 = 397,981.91/x
  3. Step 3: Cross multiply
    703,910.81x = 971,384.24 × 397,981.91
  4. Step 4: Simplify right side
    703,910.81x = 386,593,348,332.27
  5. Step 5: Solve for x
    x = 386,593,348,332.27/703,910.81
  6. Step 6: Final answer
    x = 549,207.86

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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.