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Finding the Fourth Proportional to 656,714.80, 982,885.20 and 476,287.30

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Solution

The fourth proportional to 656,714.80, 982,885.20 and 476,287.30 is: 712,844.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,714.80 : 982,885.20 = 476,287.30 : x
  2. Step 2: Convert to fraction form
    656,714.80/982,885.20 = 476,287.30/x
  3. Step 3: Cross multiply
    656,714.80x = 982,885.20 × 476,287.30
  4. Step 4: Simplify right side
    656,714.80x = 468,135,738,117.96
  5. Step 5: Solve for x
    x = 468,135,738,117.96/656,714.80
  6. Step 6: Final answer
    x = 712,844.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.