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Finding the Fourth Proportional to 259,311.40, 388,448.70 and 148,373.80

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Solution

The fourth proportional to 259,311.40, 388,448.70 and 148,373.80 is: 222,264.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,311.40 : 388,448.70 = 148,373.80 : x
  2. Step 2: Convert to fraction form
    259,311.40/388,448.70 = 148,373.80/x
  3. Step 3: Cross multiply
    259,311.40x = 388,448.70 × 148,373.80
  4. Step 4: Simplify right side
    259,311.40x = 57,635,609,724.06
  5. Step 5: Solve for x
    x = 57,635,609,724.06/259,311.40
  6. Step 6: Final answer
    x = 222,264.08

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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.