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Finding the Fourth Proportional to 312,155.83, 430,776.18 and 168,915.87

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Solution

The fourth proportional to 312,155.83, 430,776.18 and 168,915.87 is: 233,104.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,155.83 : 430,776.18 = 168,915.87 : x
  2. Step 2: Convert to fraction form
    312,155.83/430,776.18 = 168,915.87/x
  3. Step 3: Cross multiply
    312,155.83x = 430,776.18 × 168,915.87
  4. Step 4: Simplify right side
    312,155.83x = 72,764,932,375.40
  5. Step 5: Solve for x
    x = 72,764,932,375.40/312,155.83
  6. Step 6: Final answer
    x = 233,104.52

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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.