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Finding the Fourth Proportional to 407,051.37, 561,082.08 and 320,869.92

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Solution

The fourth proportional to 407,051.37, 561,082.08 and 320,869.92 is: 442,289.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,051.37 : 561,082.08 = 320,869.92 : x
  2. Step 2: Convert to fraction form
    407,051.37/561,082.08 = 320,869.92/x
  3. Step 3: Cross multiply
    407,051.37x = 561,082.08 × 320,869.92
  4. Step 4: Simplify right side
    407,051.37x = 180,034,362,123.03
  5. Step 5: Solve for x
    x = 180,034,362,123.03/407,051.37
  6. Step 6: Final answer
    x = 442,289.05

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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.