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Finding the Fourth Proportional to 309,176.10, 434,090.70 and 309,176.10

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Solution

The fourth proportional to 309,176.10, 434,090.70 and 309,176.10 is: 434,090.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,176.10 : 434,090.70 = 309,176.10 : x
  2. Step 2: Convert to fraction form
    309,176.10/434,090.70 = 309,176.10/x
  3. Step 3: Cross multiply
    309,176.10x = 434,090.70 × 309,176.10
  4. Step 4: Simplify right side
    309,176.10x = 134,210,469,672.27
  5. Step 5: Solve for x
    x = 134,210,469,672.27/309,176.10
  6. Step 6: Final answer
    x = 434,090.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.