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Finding the Fourth Proportional to 492,896.78, 680,197.61 and 266,542.28

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Solution

The fourth proportional to 492,896.78, 680,197.61 and 266,542.28 is: 367,828.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,896.78 : 680,197.61 = 266,542.28 : x
  2. Step 2: Convert to fraction form
    492,896.78/680,197.61 = 266,542.28/x
  3. Step 3: Cross multiply
    492,896.78x = 680,197.61 × 266,542.28
  4. Step 4: Simplify right side
    492,896.78x = 181,301,421,819.95
  5. Step 5: Solve for x
    x = 181,301,421,819.95/492,896.78
  6. Step 6: Final answer
    x = 367,828.38

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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.