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Finding the Fourth Proportional to 380,367.70, 524,923.82 and 210,601.82

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Solution

The fourth proportional to 380,367.70, 524,923.82 and 210,601.82 is: 290,639.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,367.70 : 524,923.82 = 210,601.82 : x
  2. Step 2: Convert to fraction form
    380,367.70/524,923.82 = 210,601.82/x
  3. Step 3: Cross multiply
    380,367.70x = 524,923.82 × 210,601.82
  4. Step 4: Simplify right side
    380,367.70x = 110,549,910,800.34
  5. Step 5: Solve for x
    x = 110,549,910,800.34/380,367.70
  6. Step 6: Final answer
    x = 290,639.59

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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.