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Finding the Fourth Proportional to 253,446, 380,154.24 and 66,457.44

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Solution

The fourth proportional to 253,446, 380,154.24 and 66,457.44 is: 99,682.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,446 : 380,154.24 = 66,457.44 : x
  2. Step 2: Convert to fraction form
    253,446/380,154.24 = 66,457.44/x
  3. Step 3: Cross multiply
    253,446x = 380,154.24 × 66,457.44
  4. Step 4: Simplify right side
    253,446x = 25,264,077,595.55
  5. Step 5: Solve for x
    x = 25,264,077,595.55/253,446
  6. Step 6: Final answer
    x = 99,682.29

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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.