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Finding the Fourth Proportional to 266,078.80, 397,966.20 and 238,200.40

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Solution

The fourth proportional to 266,078.80, 397,966.20 and 238,200.40 is: 356,269.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,078.80 : 397,966.20 = 238,200.40 : x
  2. Step 2: Convert to fraction form
    266,078.80/397,966.20 = 238,200.40/x
  3. Step 3: Cross multiply
    266,078.80x = 397,966.20 × 238,200.40
  4. Step 4: Simplify right side
    266,078.80x = 94,795,708,026.48
  5. Step 5: Solve for x
    x = 94,795,708,026.48/266,078.80
  6. Step 6: Final answer
    x = 356,269.30

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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.