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Finding the Fourth Proportional to 226,010.40, 311,929.20 and 130,509.60

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Solution

The fourth proportional to 226,010.40, 311,929.20 and 130,509.60 is: 180,123.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,010.40 : 311,929.20 = 130,509.60 : x
  2. Step 2: Convert to fraction form
    226,010.40/311,929.20 = 130,509.60/x
  3. Step 3: Cross multiply
    226,010.40x = 311,929.20 × 130,509.60
  4. Step 4: Simplify right side
    226,010.40x = 40,709,755,120.32
  5. Step 5: Solve for x
    x = 40,709,755,120.32/226,010.40
  6. Step 6: Final answer
    x = 180,123.37

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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.