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Finding the Fourth Proportional to 564,705, 847,080.54 and 143,991.78

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Solution

The fourth proportional to 564,705, 847,080.54 and 143,991.78 is: 215,993.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,705 : 847,080.54 = 143,991.78 : x
  2. Step 2: Convert to fraction form
    564,705/847,080.54 = 143,991.78/x
  3. Step 3: Cross multiply
    564,705x = 847,080.54 × 143,991.78
  4. Step 4: Simplify right side
    564,705x = 121,972,634,757.96
  5. Step 5: Solve for x
    x = 121,972,634,757.96/564,705
  6. Step 6: Final answer
    x = 215,993.54

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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.