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Finding the Fourth Proportional to 340,861.12, 470,389.92 and 197,705.92

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Solution

The fourth proportional to 340,861.12, 470,389.92 and 197,705.92 is: 272,835.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,861.12 : 470,389.92 = 197,705.92 : x
  2. Step 2: Convert to fraction form
    340,861.12/470,389.92 = 197,705.92/x
  3. Step 3: Cross multiply
    340,861.12x = 470,389.92 × 197,705.92
  4. Step 4: Simplify right side
    340,861.12x = 92,998,871,892.33
  5. Step 5: Solve for x
    x = 92,998,871,892.33/340,861.12
  6. Step 6: Final answer
    x = 272,835.08

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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.