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Finding the Fourth Proportional to 807,814.12, 1,114,808.36 and 463,712.90

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Solution

The fourth proportional to 807,814.12, 1,114,808.36 and 463,712.90 is: 639,938.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,814.12 : 1,114,808.36 = 463,712.90 : x
  2. Step 2: Convert to fraction form
    807,814.12/1,114,808.36 = 463,712.90/x
  3. Step 3: Cross multiply
    807,814.12x = 1,114,808.36 × 463,712.90
  4. Step 4: Simplify right side
    807,814.12x = 516,951,022,923.48
  5. Step 5: Solve for x
    x = 516,951,022,923.48/807,814.12
  6. Step 6: Final answer
    x = 639,938.09

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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.