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Finding the Fourth Proportional to 340,690.56, 470,208.96 and 189,836.16

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Solution

The fourth proportional to 340,690.56, 470,208.96 and 189,836.16 is: 262,005.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,690.56 : 470,208.96 = 189,836.16 : x
  2. Step 2: Convert to fraction form
    340,690.56/470,208.96 = 189,836.16/x
  3. Step 3: Cross multiply
    340,690.56x = 470,208.96 × 189,836.16
  4. Step 4: Simplify right side
    340,690.56x = 89,262,663,363.99
  5. Step 5: Solve for x
    x = 89,262,663,363.99/340,690.56
  6. Step 6: Final answer
    x = 262,005.10

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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.