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Finding the Fourth Proportional to 380,891.58, 525,628.89 and 208,810.50

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Solution

The fourth proportional to 380,891.58, 525,628.89 and 208,810.50 is: 288,157.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,891.58 : 525,628.89 = 208,810.50 : x
  2. Step 2: Convert to fraction form
    380,891.58/525,628.89 = 208,810.50/x
  3. Step 3: Cross multiply
    380,891.58x = 525,628.89 × 208,810.50
  4. Step 4: Simplify right side
    380,891.58x = 109,756,831,335.35
  5. Step 5: Solve for x
    x = 109,756,831,335.35/380,891.58
  6. Step 6: Final answer
    x = 288,157.67

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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.