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Finding the Fourth Proportional to 270,435, 405,566.22 and 92,899.20

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Solution

The fourth proportional to 270,435, 405,566.22 and 92,899.20 is: 139,319.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,435 : 405,566.22 = 92,899.20 : x
  2. Step 2: Convert to fraction form
    270,435/405,566.22 = 92,899.20/x
  3. Step 3: Cross multiply
    270,435x = 405,566.22 × 92,899.20
  4. Step 4: Simplify right side
    270,435x = 37,676,777,385.02
  5. Step 5: Solve for x
    x = 37,676,777,385.02/270,435
  6. Step 6: Final answer
    x = 139,319.16

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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.