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Finding the Fourth Proportional to 456,995.28, 685,521.96 and 141,425.68

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Solution

The fourth proportional to 456,995.28, 685,521.96 and 141,425.68 is: 212,147.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,995.28 : 685,521.96 = 141,425.68 : x
  2. Step 2: Convert to fraction form
    456,995.28/685,521.96 = 141,425.68/x
  3. Step 3: Cross multiply
    456,995.28x = 685,521.96 × 141,425.68
  4. Step 4: Simplify right side
    456,995.28x = 96,950,409,347.93
  5. Step 5: Solve for x
    x = 96,950,409,347.93/456,995.28
  6. Step 6: Final answer
    x = 212,147.51

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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.