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Finding the Fourth Proportional to 309,313.64, 426,845.72 and 180,243.90

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Solution

The fourth proportional to 309,313.64, 426,845.72 and 180,243.90 is: 248,732.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,313.64 : 426,845.72 = 180,243.90 : x
  2. Step 2: Convert to fraction form
    309,313.64/426,845.72 = 180,243.90/x
  3. Step 3: Cross multiply
    309,313.64x = 426,845.72 × 180,243.90
  4. Step 4: Simplify right side
    309,313.64x = 76,936,337,271.11
  5. Step 5: Solve for x
    x = 76,936,337,271.11/309,313.64
  6. Step 6: Final answer
    x = 248,732.44

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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.