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Finding the Fourth Proportional to 259,446.80, 388,878.60 and 133,038.20

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Solution

The fourth proportional to 259,446.80, 388,878.60 and 133,038.20 is: 199,407.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,446.80 : 388,878.60 = 133,038.20 : x
  2. Step 2: Convert to fraction form
    259,446.80/388,878.60 = 133,038.20/x
  3. Step 3: Cross multiply
    259,446.80x = 388,878.60 × 133,038.20
  4. Step 4: Simplify right side
    259,446.80x = 51,735,708,962.52
  5. Step 5: Solve for x
    x = 51,735,708,962.52/259,446.80
  6. Step 6: Final answer
    x = 199,407.77

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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.