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Finding the Fourth Proportional to 312,684.96, 431,506.80 and 176,743.20

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Solution

The fourth proportional to 312,684.96, 431,506.80 and 176,743.20 is: 243,906.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,684.96 : 431,506.80 = 176,743.20 : x
  2. Step 2: Convert to fraction form
    312,684.96/431,506.80 = 176,743.20/x
  3. Step 3: Cross multiply
    312,684.96x = 431,506.80 × 176,743.20
  4. Step 4: Simplify right side
    312,684.96x = 76,265,892,653.76
  5. Step 5: Solve for x
    x = 76,265,892,653.76/312,684.96
  6. Step 6: Final answer
    x = 243,906.50

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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.