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Finding the Fourth Proportional to 266,440.40, 399,660.60 and 142,024.40

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Solution

The fourth proportional to 266,440.40, 399,660.60 and 142,024.40 is: 213,036.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,440.40 : 399,660.60 = 142,024.40 : x
  2. Step 2: Convert to fraction form
    266,440.40/399,660.60 = 142,024.40/x
  3. Step 3: Cross multiply
    266,440.40x = 399,660.60 × 142,024.40
  4. Step 4: Simplify right side
    266,440.40x = 56,761,556,918.64
  5. Step 5: Solve for x
    x = 56,761,556,918.64/266,440.40
  6. Step 6: Final answer
    x = 213,036.60

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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.