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Finding the Fourth Proportional to 420,296.06, 580,008.57 and 269,393.06

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Solution

The fourth proportional to 420,296.06, 580,008.57 and 269,393.06 is: 371,762.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,296.06 : 580,008.57 = 269,393.06 : x
  2. Step 2: Convert to fraction form
    420,296.06/580,008.57 = 269,393.06/x
  3. Step 3: Cross multiply
    420,296.06x = 580,008.57 × 269,393.06
  4. Step 4: Simplify right side
    420,296.06x = 156,250,283,938.32
  5. Step 5: Solve for x
    x = 156,250,283,938.32/420,296.06
  6. Step 6: Final answer
    x = 371,762.43

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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.