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Finding the Fourth Proportional to 356,013.65, 491,288.94 and 203,048.25

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Solution

The fourth proportional to 356,013.65, 491,288.94 and 203,048.25 is: 280,200.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,013.65 : 491,288.94 = 203,048.25 : x
  2. Step 2: Convert to fraction form
    356,013.65/491,288.94 = 203,048.25/x
  3. Step 3: Cross multiply
    356,013.65x = 491,288.94 × 203,048.25
  4. Step 4: Simplify right side
    356,013.65x = 99,755,359,511.36
  5. Step 5: Solve for x
    x = 99,755,359,511.36/356,013.65
  6. Step 6: Final answer
    x = 280,200.94

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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.