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Finding the Fourth Proportional to 407,457.10, 562,290.36 and 226,168.61

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Solution

The fourth proportional to 407,457.10, 562,290.36 and 226,168.61 is: 312,112.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,457.10 : 562,290.36 = 226,168.61 : x
  2. Step 2: Convert to fraction form
    407,457.10/562,290.36 = 226,168.61/x
  3. Step 3: Cross multiply
    407,457.10x = 562,290.36 × 226,168.61
  4. Step 4: Simplify right side
    407,457.10x = 127,172,425,478.02
  5. Step 5: Solve for x
    x = 127,172,425,478.02/407,457.10
  6. Step 6: Final answer
    x = 312,112.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.