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Finding the Fourth Proportional to 307,360.92, 461,089.14 and 129,868.80

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Solution

The fourth proportional to 307,360.92, 461,089.14 and 129,868.80 is: 194,823.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,360.92 : 461,089.14 = 129,868.80 : x
  2. Step 2: Convert to fraction form
    307,360.92/461,089.14 = 129,868.80/x
  3. Step 3: Cross multiply
    307,360.92x = 461,089.14 × 129,868.80
  4. Step 4: Simplify right side
    307,360.92x = 59,881,093,304.83
  5. Step 5: Solve for x
    x = 59,881,093,304.83/307,360.92
  6. Step 6: Final answer
    x = 194,823.38

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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.