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Finding the Fourth Proportional to 340,606.20, 470,036.55 and 189,703.20

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Solution

The fourth proportional to 340,606.20, 470,036.55 and 189,703.20 is: 261,790.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,606.20 : 470,036.55 = 189,703.20 : x
  2. Step 2: Convert to fraction form
    340,606.20/470,036.55 = 189,703.20/x
  3. Step 3: Cross multiply
    340,606.20x = 470,036.55 × 189,703.20
  4. Step 4: Simplify right side
    340,606.20x = 89,167,437,651.96
  5. Step 5: Solve for x
    x = 89,167,437,651.96/340,606.20
  6. Step 6: Final answer
    x = 261,790.41

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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.