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Finding the Fourth Proportional to 407,457.89, 562,231.94 and 226,171.20

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Solution

The fourth proportional to 407,457.89, 562,231.94 and 226,171.20 is: 312,082.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,457.89 : 562,231.94 = 226,171.20 : x
  2. Step 2: Convert to fraction form
    407,457.89/562,231.94 = 226,171.20/x
  3. Step 3: Cross multiply
    407,457.89x = 562,231.94 × 226,171.20
  4. Step 4: Simplify right side
    407,457.89x = 127,160,671,417.27
  5. Step 5: Solve for x
    x = 127,160,671,417.27/407,457.89
  6. Step 6: Final answer
    x = 312,082.98

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1.5x scale

Why These Related Problems?

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