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Finding the Fourth Proportional to 407,742.45, 562,688.13 and 226,457.56

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Solution

The fourth proportional to 407,742.45, 562,688.13 and 226,457.56 is: 312,513.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,742.45 : 562,688.13 = 226,457.56 : x
  2. Step 2: Convert to fraction form
    407,742.45/562,688.13 = 226,457.56/x
  3. Step 3: Cross multiply
    407,742.45x = 562,688.13 × 226,457.56
  4. Step 4: Simplify right side
    407,742.45x = 127,424,980,960.76
  5. Step 5: Solve for x
    x = 127,424,980,960.76/407,742.45
  6. Step 6: Final answer
    x = 312,513.40

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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.