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Finding the Fourth Proportional to 340,575.71, 470,009.06 and 189,672.71

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Solution

The fourth proportional to 340,575.71, 470,009.06 and 189,672.71 is: 261,756.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,575.71 : 470,009.06 = 189,672.71 : x
  2. Step 2: Convert to fraction form
    340,575.71/470,009.06 = 189,672.71/x
  3. Step 3: Cross multiply
    340,575.71x = 470,009.06 × 189,672.71
  4. Step 4: Simplify right side
    340,575.71x = 89,147,892,134.75
  5. Step 5: Solve for x
    x = 89,147,892,134.75/340,575.71
  6. Step 6: Final answer
    x = 261,756.46

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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.