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Finding the Fourth Proportional to 313,369.86, 432,443.70 and 170,128.65

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Solution

The fourth proportional to 313,369.86, 432,443.70 and 170,128.65 is: 234,773.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,369.86 : 432,443.70 = 170,128.65 : x
  2. Step 2: Convert to fraction form
    313,369.86/432,443.70 = 170,128.65/x
  3. Step 3: Cross multiply
    313,369.86x = 432,443.70 × 170,128.65
  4. Step 4: Simplify right side
    313,369.86x = 73,571,062,882.01
  5. Step 5: Solve for x
    x = 73,571,062,882.01/313,369.86
  6. Step 6: Final answer
    x = 234,773.90

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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.