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Finding the Fourth Proportional to 703,915.80, 971,391.14 and 397,986.90

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Solution

The fourth proportional to 703,915.80, 971,391.14 and 397,986.90 is: 549,214.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,915.80 : 971,391.14 = 397,986.90 : x
  2. Step 2: Convert to fraction form
    703,915.80/971,391.14 = 397,986.90/x
  3. Step 3: Cross multiply
    703,915.80x = 971,391.14 × 397,986.90
  4. Step 4: Simplify right side
    703,915.80x = 386,600,948,496.07
  5. Step 5: Solve for x
    x = 386,600,948,496.07/703,915.80
  6. Step 6: Final answer
    x = 549,214.76

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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.