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Finding the Fourth Proportional to 354,057.72, 531,308.02 and 143,695.66

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Solution

The fourth proportional to 354,057.72, 531,308.02 and 143,695.66 is: 215,633.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,057.72 : 531,308.02 = 143,695.66 : x
  2. Step 2: Convert to fraction form
    354,057.72/531,308.02 = 143,695.66/x
  3. Step 3: Cross multiply
    354,057.72x = 531,308.02 × 143,695.66
  4. Step 4: Simplify right side
    354,057.72x = 76,346,656,597.19
  5. Step 5: Solve for x
    x = 76,346,656,597.19/354,057.72
  6. Step 6: Final answer
    x = 215,633.36

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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.