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Finding the Fourth Proportional to 340,612.36, 470,045.16 and 189,709.36

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Solution

The fourth proportional to 340,612.36, 470,045.16 and 189,709.36 is: 261,798.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,612.36 : 470,045.16 = 189,709.36 : x
  2. Step 2: Convert to fraction form
    340,612.36/470,045.16 = 189,709.36/x
  3. Step 3: Cross multiply
    340,612.36x = 470,045.16 × 189,709.36
  4. Step 4: Simplify right side
    340,612.36x = 89,171,966,474.70
  5. Step 5: Solve for x
    x = 89,171,966,474.70/340,612.36
  6. Step 6: Final answer
    x = 261,798.97

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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.