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Finding the Fourth Proportional to 313,273.90, 432,318.47 and 170,034

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Solution

The fourth proportional to 313,273.90, 432,318.47 and 170,034 is: 234,647.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,273.90 : 432,318.47 = 170,034 : x
  2. Step 2: Convert to fraction form
    313,273.90/432,318.47 = 170,034/x
  3. Step 3: Cross multiply
    313,273.90x = 432,318.47 × 170,034
  4. Step 4: Simplify right side
    313,273.90x = 73,508,838,727.98
  5. Step 5: Solve for x
    x = 73,508,838,727.98/313,273.90
  6. Step 6: Final answer
    x = 234,647.18

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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.