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Finding the Fourth Proportional to 312,208.52, 430,847.72 and 168,968.58

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Solution

The fourth proportional to 312,208.52, 430,847.72 and 168,968.58 is: 233,176.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,208.52 : 430,847.72 = 168,968.58 : x
  2. Step 2: Convert to fraction form
    312,208.52/430,847.72 = 168,968.58/x
  3. Step 3: Cross multiply
    312,208.52x = 430,847.72 × 168,968.58
  4. Step 4: Simplify right side
    312,208.52x = 72,799,727,444.64
  5. Step 5: Solve for x
    x = 72,799,727,444.64/312,208.52
  6. Step 6: Final answer
    x = 233,176.62

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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.