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Finding the Fourth Proportional to 312,154.47, 430,774.31 and 168,914.52

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Solution

The fourth proportional to 312,154.47, 430,774.31 and 168,914.52 is: 233,102.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,154.47 : 430,774.31 = 168,914.52 : x
  2. Step 2: Convert to fraction form
    312,154.47/430,774.31 = 168,914.52/x
  3. Step 3: Cross multiply
    312,154.47x = 430,774.31 × 168,914.52
  4. Step 4: Simplify right side
    312,154.47x = 72,764,036,224.27
  5. Step 5: Solve for x
    x = 72,764,036,224.27/312,154.47
  6. Step 6: Final answer
    x = 233,102.66

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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.