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Finding the Fourth Proportional to 420,939.69, 631,658.63 and 154,887.03

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Solution

The fourth proportional to 420,939.69, 631,658.63 and 154,887.03 is: 232,422.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,939.69 : 631,658.63 = 154,887.03 : x
  2. Step 2: Convert to fraction form
    420,939.69/631,658.63 = 154,887.03/x
  3. Step 3: Cross multiply
    420,939.69x = 631,658.63 × 154,887.03
  4. Step 4: Simplify right side
    420,939.69x = 97,835,729,561.79
  5. Step 5: Solve for x
    x = 97,835,729,561.79/420,939.69
  6. Step 6: Final answer
    x = 232,422.20

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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.