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Finding the Fourth Proportional to 461,129.82, 691,677.45 and 145,605.66

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Solution

The fourth proportional to 461,129.82, 691,677.45 and 145,605.66 is: 218,403.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,129.82 : 691,677.45 = 145,605.66 : x
  2. Step 2: Convert to fraction form
    461,129.82/691,677.45 = 145,605.66/x
  3. Step 3: Cross multiply
    461,129.82x = 691,677.45 × 145,605.66
  4. Step 4: Simplify right side
    461,129.82x = 100,712,151,614.37
  5. Step 5: Solve for x
    x = 100,712,151,614.37/461,129.82
  6. Step 6: Final answer
    x = 218,403.03

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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.