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Finding the Fourth Proportional to 360,028.69, 496,900.25 and 209,213.17

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Solution

The fourth proportional to 360,028.69, 496,900.25 and 209,213.17 is: 288,749.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,028.69 : 496,900.25 = 209,213.17 : x
  2. Step 2: Convert to fraction form
    360,028.69/496,900.25 = 209,213.17/x
  3. Step 3: Cross multiply
    360,028.69x = 496,900.25 × 209,213.17
  4. Step 4: Simplify right side
    360,028.69x = 103,958,076,476.29
  5. Step 5: Solve for x
    x = 103,958,076,476.29/360,028.69
  6. Step 6: Final answer
    x = 288,749.42

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Half scale
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Double scale
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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.