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Finding the Fourth Proportional to 703,493.85, 970,714.16 and 397,458.58

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Solution

The fourth proportional to 703,493.85, 970,714.16 and 397,458.58 is: 548,432.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,493.85 : 970,714.16 = 397,458.58 : x
  2. Step 2: Convert to fraction form
    703,493.85/970,714.16 = 397,458.58/x
  3. Step 3: Cross multiply
    703,493.85x = 970,714.16 × 397,458.58
  4. Step 4: Simplify right side
    703,493.85x = 385,818,670,186.35
  5. Step 5: Solve for x
    x = 385,818,670,186.35/703,493.85
  6. Step 6: Final answer
    x = 548,432.19

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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.