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Finding the Fourth Proportional to 378,888.40, 522,870.33 and 209,122.66

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Solution

The fourth proportional to 378,888.40, 522,870.33 and 209,122.66 is: 288,591.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,888.40 : 522,870.33 = 209,122.66 : x
  2. Step 2: Convert to fraction form
    378,888.40/522,870.33 = 209,122.66/x
  3. Step 3: Cross multiply
    378,888.40x = 522,870.33 × 209,122.66
  4. Step 4: Simplify right side
    378,888.40x = 109,344,034,244.68
  5. Step 5: Solve for x
    x = 109,344,034,244.68/378,888.40
  6. Step 6: Final answer
    x = 288,591.67

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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.