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Finding the Fourth Proportional to 312,312, 430,990.56 and 178,173.12

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Solution

The fourth proportional to 312,312, 430,990.56 and 178,173.12 is: 245,878.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,312 : 430,990.56 = 178,173.12 : x
  2. Step 2: Convert to fraction form
    312,312/430,990.56 = 178,173.12/x
  3. Step 3: Cross multiply
    312,312x = 430,990.56 × 178,173.12
  4. Step 4: Simplify right side
    312,312x = 76,790,932,765.75
  5. Step 5: Solve for x
    x = 76,790,932,765.75/312,312
  6. Step 6: Final answer
    x = 245,878.91

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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.