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Finding the Fourth Proportional to 266,978.10, 400,467.15 and 162,002.10

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Solution

The fourth proportional to 266,978.10, 400,467.15 and 162,002.10 is: 243,003.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,978.10 : 400,467.15 = 162,002.10 : x
  2. Step 2: Convert to fraction form
    266,978.10/400,467.15 = 162,002.10/x
  3. Step 3: Cross multiply
    266,978.10x = 400,467.15 × 162,002.10
  4. Step 4: Simplify right side
    266,978.10x = 64,876,519,281.02
  5. Step 5: Solve for x
    x = 64,876,519,281.02/266,978.10
  6. Step 6: Final answer
    x = 243,003.15

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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.