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Finding the Fourth Proportional to 312,096.80, 430,693.68 and 168,856.76

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Solution

The fourth proportional to 312,096.80, 430,693.68 and 168,856.76 is: 233,022.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,096.80 : 430,693.68 = 168,856.76 : x
  2. Step 2: Convert to fraction form
    312,096.80/430,693.68 = 168,856.76/x
  3. Step 3: Cross multiply
    312,096.80x = 430,693.68 × 168,856.76
  4. Step 4: Simplify right side
    312,096.80x = 72,725,539,357.28
  5. Step 5: Solve for x
    x = 72,725,539,357.28/312,096.80
  6. Step 6: Final answer
    x = 233,022.38

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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.