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Finding the Fourth Proportional to 407,154.96, 610,777.80 and 140,939.28

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Solution

The fourth proportional to 407,154.96, 610,777.80 and 140,939.28 is: 211,424.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,154.96 : 610,777.80 = 140,939.28 : x
  2. Step 2: Convert to fraction form
    407,154.96/610,777.80 = 140,939.28/x
  3. Step 3: Cross multiply
    407,154.96x = 610,777.80 × 140,939.28
  4. Step 4: Simplify right side
    407,154.96x = 86,082,583,371.98
  5. Step 5: Solve for x
    x = 86,082,583,371.98/407,154.96
  6. Step 6: Final answer
    x = 211,424.62

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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.