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Finding the Fourth Proportional to 266,438.40, 399,657.60 and 142,022.40

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Solution

The fourth proportional to 266,438.40, 399,657.60 and 142,022.40 is: 213,033.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,438.40 : 399,657.60 = 142,022.40 : x
  2. Step 2: Convert to fraction form
    266,438.40/399,657.60 = 142,022.40/x
  3. Step 3: Cross multiply
    266,438.40x = 399,657.60 × 142,022.40
  4. Step 4: Simplify right side
    266,438.40x = 56,760,331,530.24
  5. Step 5: Solve for x
    x = 56,760,331,530.24/266,438.40
  6. Step 6: Final answer
    x = 213,033.60

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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.