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Finding the Fourth Proportional to 340,885.20, 470,423.90 and 189,991.92

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Solution

The fourth proportional to 340,885.20, 470,423.90 and 189,991.92 is: 262,190.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,885.20 : 470,423.90 = 189,991.92 : x
  2. Step 2: Convert to fraction form
    340,885.20/470,423.90 = 189,991.92/x
  3. Step 3: Cross multiply
    340,885.20x = 470,423.90 × 189,991.92
  4. Step 4: Simplify right side
    340,885.20x = 89,376,739,974.89
  5. Step 5: Solve for x
    x = 89,376,739,974.89/340,885.20
  6. Step 6: Final answer
    x = 262,190.14

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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.