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Finding the Fourth Proportional to 259,323.40, 388,466.70 and 148,385.80

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Solution

The fourth proportional to 259,323.40, 388,466.70 and 148,385.80 is: 222,282.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,323.40 : 388,466.70 = 148,385.80 : x
  2. Step 2: Convert to fraction form
    259,323.40/388,466.70 = 148,385.80/x
  3. Step 3: Cross multiply
    259,323.40x = 388,466.70 × 148,385.80
  4. Step 4: Simplify right side
    259,323.40x = 57,642,942,052.86
  5. Step 5: Solve for x
    x = 57,642,942,052.86/259,323.40
  6. Step 6: Final answer
    x = 222,282.07

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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.