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Finding the Fourth Proportional to 312,212.47, 430,852.47 and 168,972.63

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Solution

The fourth proportional to 312,212.47, 430,852.47 and 168,972.63 is: 233,181.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,212.47 : 430,852.47 = 168,972.63 : x
  2. Step 2: Convert to fraction form
    312,212.47/430,852.47 = 168,972.63/x
  3. Step 3: Cross multiply
    312,212.47x = 430,852.47 × 168,972.63
  4. Step 4: Simplify right side
    312,212.47x = 72,802,274,997.90
  5. Step 5: Solve for x
    x = 72,802,274,997.90/312,212.47
  6. Step 6: Final answer
    x = 233,181.83

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1.5x scale

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.