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Finding the Fourth Proportional to 270,505.80, 405,758.70 and 102,000.20

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Solution

The fourth proportional to 270,505.80, 405,758.70 and 102,000.20 is: 153,000.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,505.80 : 405,758.70 = 102,000.20 : x
  2. Step 2: Convert to fraction form
    270,505.80/405,758.70 = 102,000.20/x
  3. Step 3: Cross multiply
    270,505.80x = 405,758.70 × 102,000.20
  4. Step 4: Simplify right side
    270,505.80x = 41,387,468,551.74
  5. Step 5: Solve for x
    x = 41,387,468,551.74/270,505.80
  6. Step 6: Final answer
    x = 153,000.30

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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.