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Finding the Fourth Proportional to 309,823.60, 464,725.80 and 88,207.60

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Solution

The fourth proportional to 309,823.60, 464,725.80 and 88,207.60 is: 132,308.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,823.60 : 464,725.80 = 88,207.60 : x
  2. Step 2: Convert to fraction form
    309,823.60/464,725.80 = 88,207.60/x
  3. Step 3: Cross multiply
    309,823.60x = 464,725.80 × 88,207.60
  4. Step 4: Simplify right side
    309,823.60x = 40,992,347,476.08
  5. Step 5: Solve for x
    x = 40,992,347,476.08/309,823.60
  6. Step 6: Final answer
    x = 132,308.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.