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Finding the Fourth Proportional to 380,900.84, 525,639.78 and 208,815.66

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Solution

The fourth proportional to 380,900.84, 525,639.78 and 208,815.66 is: 288,163.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,900.84 : 525,639.78 = 208,815.66 : x
  2. Step 2: Convert to fraction form
    380,900.84/525,639.78 = 208,815.66/x
  3. Step 3: Cross multiply
    380,900.84x = 525,639.78 × 208,815.66
  4. Step 4: Simplify right side
    380,900.84x = 109,761,817,582.96
  5. Step 5: Solve for x
    x = 109,761,817,582.96/380,900.84
  6. Step 6: Final answer
    x = 288,163.76

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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.